To round 1.2674271 to the nearest tenth, you look at the digit in the hundredths place (the second digit after the decimal point).
In this case, the number is:
1.2674271
^^^
67 (hundredths)
The digit in the tenths place is 2, and the digit in the hundredths place is 6. Since 6 is 5 or greater, you round up the tenths place from 2 to 3.
Therefore, 1.2674271 rounded to the nearest tenth is 1.3.