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Finding the Fourth Proportional to 1,414.97, 2,121.60 and 634.83

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Solution

The fourth proportional to 1,414.97, 2,121.60 and 634.83 is: 951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.97 : 2,121.60 = 634.83 : x
  2. Step 2: Convert to fraction form
    1,414.97/2,121.60 = 634.83/x
  3. Step 3: Cross multiply
    1,414.97x = 2,121.60 × 634.83
  4. Step 4: Simplify right side
    1,414.97x = 1,346,855.33
  5. Step 5: Solve for x
    x = 1,346,855.33/1,414.97
  6. Step 6: Final answer
    x = 951.86

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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.