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Finding the Fourth Proportional to 801.33, 1,201.28 and 314.02

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Solution

The fourth proportional to 801.33, 1,201.28 and 314.02 is: 470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.33 : 1,201.28 = 314.02 : x
  2. Step 2: Convert to fraction form
    801.33/1,201.28 = 314.02/x
  3. Step 3: Cross multiply
    801.33x = 1,201.28 × 314.02
  4. Step 4: Simplify right side
    801.33x = 377,223.73
  5. Step 5: Solve for x
    x = 377,223.73/801.33
  6. Step 6: Final answer
    x = 470.75

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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.