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Finding the Fourth Proportional to 724.02, 1,084.14 and 398.58

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Solution

The fourth proportional to 724.02, 1,084.14 and 398.58 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.02 : 1,084.14 = 398.58 : x
  2. Step 2: Convert to fraction form
    724.02/1,084.14 = 398.58/x
  3. Step 3: Cross multiply
    724.02x = 1,084.14 × 398.58
  4. Step 4: Simplify right side
    724.02x = 432,116.52
  5. Step 5: Solve for x
    x = 432,116.52/724.02
  6. Step 6: Final answer
    x = 596.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.