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Finding the Fourth Proportional to 801.26, 1,105.68 and 464.92

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Solution

The fourth proportional to 801.26, 1,105.68 and 464.92 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.26 : 1,105.68 = 464.92 : x
  2. Step 2: Convert to fraction form
    801.26/1,105.68 = 464.92/x
  3. Step 3: Cross multiply
    801.26x = 1,105.68 × 464.92
  4. Step 4: Simplify right side
    801.26x = 514,052.75
  5. Step 5: Solve for x
    x = 514,052.75/801.26
  6. Step 6: Final answer
    x = 641.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.