To arrange the sets of decimals from least to greatest, we can compare the numbers directly.
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1.7, 1.074, 1.07:
- 1.07 < 1.074 < 1.7
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1.7, 1.074, 1.071:
- 1.071 < 1.074 < 1.7
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1.7, 1.07, 1.007:
- 1.007 < 1.07 < 1.7
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1.07, 1.7, 1.73:
- 1.07 < 1.7 < 1.73
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1.07, 1.7, 1.731:
- 1.07 < 1.7 < 1.731
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1.77, 1.7, 1.07:
- 1.07 < 1.7 < 1.77
The only set listed in order from least to greatest is 1.07, 1.074, 1.7.
If this specific ordering is not among the options provided, then the closest to being correct is: 1.07, 1.071, 1.074, 1.7, as both 1.071 and 1.074 would be less than 1.7.
Therefore, if we need to select an actual set from the provided responses, 1.07, 1.7, 1.731 is correctly ordered from smallest to largest, as all earlier values (1.07) are smaller than the next (1.7) and consequently, also less than 1.73.
In conclusion, the correct ordered set from the responses is 1.07, 1.7, 1.73.