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Finding the Fourth Proportional to 737.20, 1,105.65 and 371.64

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Solution

The fourth proportional to 737.20, 1,105.65 and 371.64 is: 557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.20 : 1,105.65 = 371.64 : x
  2. Step 2: Convert to fraction form
    737.20/1,105.65 = 371.64/x
  3. Step 3: Cross multiply
    737.20x = 1,105.65 × 371.64
  4. Step 4: Simplify right side
    737.20x = 410,901.69
  5. Step 5: Solve for x
    x = 410,901.69/737.20
  6. Step 6: Final answer
    x = 557.38

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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.