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Finding the Fourth Proportional to 801.97, 1,201.39 and 527.23

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Solution

The fourth proportional to 801.97, 1,201.39 and 527.23 is: 789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.97 : 1,201.39 = 527.23 : x
  2. Step 2: Convert to fraction form
    801.97/1,201.39 = 527.23/x
  3. Step 3: Cross multiply
    801.97x = 1,201.39 × 527.23
  4. Step 4: Simplify right side
    801.97x = 633,408.85
  5. Step 5: Solve for x
    x = 633,408.85/801.97
  6. Step 6: Final answer
    x = 789.82

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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.