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Finding the Fourth Proportional to 724.58, 1,086.46 and 493.78

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Solution

The fourth proportional to 724.58, 1,086.46 and 493.78 is: 740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.58 : 1,086.46 = 493.78 : x
  2. Step 2: Convert to fraction form
    724.58/1,086.46 = 493.78/x
  3. Step 3: Cross multiply
    724.58x = 1,086.46 × 493.78
  4. Step 4: Simplify right side
    724.58x = 536,472.22
  5. Step 5: Solve for x
    x = 536,472.22/724.58
  6. Step 6: Final answer
    x = 740.39

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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.