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Finding the Fourth Proportional to 724.13, 998.52 and 537.32

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Solution

The fourth proportional to 724.13, 998.52 and 537.32 is: 740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.13 : 998.52 = 537.32 : x
  2. Step 2: Convert to fraction form
    724.13/998.52 = 537.32/x
  3. Step 3: Cross multiply
    724.13x = 998.52 × 537.32
  4. Step 4: Simplify right side
    724.13x = 536,519.77
  5. Step 5: Solve for x
    x = 536,519.77/724.13
  6. Step 6: Final answer
    x = 740.92

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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.