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Finding the Fourth Proportional to 724.93, 1,000.32 and 410.17

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Solution

The fourth proportional to 724.93, 1,000.32 and 410.17 is: 565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.93 : 1,000.32 = 410.17 : x
  2. Step 2: Convert to fraction form
    724.93/1,000.32 = 410.17/x
  3. Step 3: Cross multiply
    724.93x = 1,000.32 × 410.17
  4. Step 4: Simplify right side
    724.93x = 410,301.25
  5. Step 5: Solve for x
    x = 410,301.25/724.93
  6. Step 6: Final answer
    x = 565.99

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Why These Related Problems?

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