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Finding the Fourth Proportional to 724.39, 999.68 and 392.83

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Solution

The fourth proportional to 724.39, 999.68 and 392.83 is: 542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.39 : 999.68 = 392.83 : x
  2. Step 2: Convert to fraction form
    724.39/999.68 = 392.83/x
  3. Step 3: Cross multiply
    724.39x = 999.68 × 392.83
  4. Step 4: Simplify right side
    724.39x = 392,705.45
  5. Step 5: Solve for x
    x = 392,705.45/724.39
  6. Step 6: Final answer
    x = 542.12

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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.