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Finding the Fourth Proportional to 724.38, 998.19 and 524.86

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Solution

The fourth proportional to 724.38, 998.19 and 524.86 is: 723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 998.19 = 524.86 : x
  2. Step 2: Convert to fraction form
    724.38/998.19 = 524.86/x
  3. Step 3: Cross multiply
    724.38x = 998.19 × 524.86
  4. Step 4: Simplify right side
    724.38x = 523,913.12
  5. Step 5: Solve for x
    x = 523,913.12/724.38
  6. Step 6: Final answer
    x = 723.26

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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.