To convert 1,000 meters to yards using the ratio of 1 meter is approximately equal to 1.09 yards, you can multiply the number of meters by the conversion factor.
So, you would do the following calculation:
\[ 1,000 \text{ meters} \times 1.09 \text{ yards/meter} = 1,090 \text{ yards} \]
Therefore, Martha runs 1,090 yards.