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Finding the Fourth Proportional to 801.52, 1,201.32 and 287.92

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Solution

The fourth proportional to 801.52, 1,201.32 and 287.92 is: 431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.52 : 1,201.32 = 287.92 : x
  2. Step 2: Convert to fraction form
    801.52/1,201.32 = 287.92/x
  3. Step 3: Cross multiply
    801.52x = 1,201.32 × 287.92
  4. Step 4: Simplify right side
    801.52x = 345,884.05
  5. Step 5: Solve for x
    x = 345,884.05/801.52
  6. Step 6: Final answer
    x = 431.54

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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.