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Finding the Fourth Proportional to 724.52, 999.83 and 392.94

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Solution

The fourth proportional to 724.52, 999.83 and 392.94 is: 542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.52 : 999.83 = 392.94 : x
  2. Step 2: Convert to fraction form
    724.52/999.83 = 392.94/x
  3. Step 3: Cross multiply
    724.52x = 999.83 × 392.94
  4. Step 4: Simplify right side
    724.52x = 392,871.24
  5. Step 5: Solve for x
    x = 392,871.24/724.52
  6. Step 6: Final answer
    x = 542.25

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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.