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Finding the Fourth Proportional to 724.91, 1,087.47 and 416.71

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Solution

The fourth proportional to 724.91, 1,087.47 and 416.71 is: 625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.91 : 1,087.47 = 416.71 : x
  2. Step 2: Convert to fraction form
    724.91/1,087.47 = 416.71/x
  3. Step 3: Cross multiply
    724.91x = 1,087.47 × 416.71
  4. Step 4: Simplify right side
    724.91x = 453,159.62
  5. Step 5: Solve for x
    x = 453,159.62/724.91
  6. Step 6: Final answer
    x = 625.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.