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Finding the Fourth Proportional to 711.16, 980.97 and 525.13

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Solution

The fourth proportional to 711.16, 980.97 and 525.13 is: 724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.16 : 980.97 = 525.13 : x
  2. Step 2: Convert to fraction form
    711.16/980.97 = 525.13/x
  3. Step 3: Cross multiply
    711.16x = 980.97 × 525.13
  4. Step 4: Simplify right side
    711.16x = 515,136.78
  5. Step 5: Solve for x
    x = 515,136.78/711.16
  6. Step 6: Final answer
    x = 724.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.