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Finding the Fourth Proportional to 737.86, 1,105.17 and 493.24

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Solution

The fourth proportional to 737.86, 1,105.17 and 493.24 is: 738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.86 : 1,105.17 = 493.24 : x
  2. Step 2: Convert to fraction form
    737.86/1,105.17 = 493.24/x
  3. Step 3: Cross multiply
    737.86x = 1,105.17 × 493.24
  4. Step 4: Simplify right side
    737.86x = 545,114.05
  5. Step 5: Solve for x
    x = 545,114.05/737.86
  6. Step 6: Final answer
    x = 738.78

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