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Finding the Fourth Proportional to 726.36, 1,001.72 and 560.16

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Solution

The fourth proportional to 726.36, 1,001.72 and 560.16 is: 772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.36 : 1,001.72 = 560.16 : x
  2. Step 2: Convert to fraction form
    726.36/1,001.72 = 560.16/x
  3. Step 3: Cross multiply
    726.36x = 1,001.72 × 560.16
  4. Step 4: Simplify right side
    726.36x = 561,123.48
  5. Step 5: Solve for x
    x = 561,123.48/726.36
  6. Step 6: Final answer
    x = 772.51

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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.