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Finding the Fourth Proportional to 724.36, 1,084.61 and 493.70

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Solution

The fourth proportional to 724.36, 1,084.61 and 493.70 is: 739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.36 : 1,084.61 = 493.70 : x
  2. Step 2: Convert to fraction form
    724.36/1,084.61 = 493.70/x
  3. Step 3: Cross multiply
    724.36x = 1,084.61 × 493.70
  4. Step 4: Simplify right side
    724.36x = 535,468.13
  5. Step 5: Solve for x
    x = 535,468.13/724.36
  6. Step 6: Final answer
    x = 739.23

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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.