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Finding the Fourth Proportional to 724.41, 1,084.59 and 493.02

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Solution

The fourth proportional to 724.41, 1,084.59 and 493.02 is: 738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.41 : 1,084.59 = 493.02 : x
  2. Step 2: Convert to fraction form
    724.41/1,084.59 = 493.02/x
  3. Step 3: Cross multiply
    724.41x = 1,084.59 × 493.02
  4. Step 4: Simplify right side
    724.41x = 534,724.56
  5. Step 5: Solve for x
    x = 534,724.56/724.41
  6. Step 6: Final answer
    x = 738.15

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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.