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Finding the Fourth Proportional to 724.17, 999.49 and 566.49

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Solution

The fourth proportional to 724.17, 999.49 and 566.49 is: 781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.17 : 999.49 = 566.49 : x
  2. Step 2: Convert to fraction form
    724.17/999.49 = 566.49/x
  3. Step 3: Cross multiply
    724.17x = 999.49 × 566.49
  4. Step 4: Simplify right side
    724.17x = 566,201.09
  5. Step 5: Solve for x
    x = 566,201.09/724.17
  6. Step 6: Final answer
    x = 781.86

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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.