Question

use a proportion to convert the measurement.
70 yards ≈ ? meters
step 1 out of 1:
convert the measurement to meters.
use 1 yard ≈ 0.914 meter.
\\(\frac{1\text{ yard}}{0.914\text{ meter}}\\) \\(\times 70\
ightarrow\\) \\(\times 70\
ightarrow\\) = \\(\frac{70\text{ yards}}{\square\text{ meters}}\\)

Explanation:

Step1: Identify the conversion factor

We know that 1 yard is approximately equal to 0.914 meters. So the proportion is set up as \(\frac{1\ \text{yard}}{0.914\ \text{meter}}\).

Step2: Apply the proportion to 70 yards

To find the equivalent in meters for 70 yards, we multiply both the numerator and the denominator of the proportion by 70.
Mathematically, this is calculated as \(0.914\times70\).

Step3: Calculate the product

\(0.914\times70 = 64.0\) (after performing the multiplication: \(0.914\times70 = 64.0\) when rounded appropriately, or more precisely \(0.914\times70=64.0\) as \(0.914\times70 = (0.9 + 0.014)\times70=0.9\times70+0.014\times70 = 63+0.98 = 63.98\approx64.0\))

Answer:

\(63.98\) (or approximately \(64.0\))