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Finding the Fourth Proportional to 801.31, 1,202.37 and 314.38

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Solution

The fourth proportional to 801.31, 1,202.37 and 314.38 is: 471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.31 : 1,202.37 = 314.38 : x
  2. Step 2: Convert to fraction form
    801.31/1,202.37 = 314.38/x
  3. Step 3: Cross multiply
    801.31x = 1,202.37 × 314.38
  4. Step 4: Simplify right side
    801.31x = 378,001.08
  5. Step 5: Solve for x
    x = 378,001.08/801.31
  6. Step 6: Final answer
    x = 471.73

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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.