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Finding the Fourth Proportional to 724.59, 999.92 and 393.01

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Solution

The fourth proportional to 724.59, 999.92 and 393.01 is: 542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.59 : 999.92 = 393.01 : x
  2. Step 2: Convert to fraction form
    724.59/999.92 = 393.01/x
  3. Step 3: Cross multiply
    724.59x = 999.92 × 393.01
  4. Step 4: Simplify right side
    724.59x = 392,971.59
  5. Step 5: Solve for x
    x = 392,971.59/724.59
  6. Step 6: Final answer
    x = 542.34

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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.