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To convert meters to yards using the ratio provided (1 meter ≈ 1.09 yards), you can multiply the number of meters by the conversion factor.
Martha runs 1,000 meters:
\[
1,000 \text{ meters} \times 1.09 \text{ yards/meter} = 1,090 \text{ yards}
\]
Therefore, Martha runs 1,090 yards.
The correct answer is **1,090**.