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Finding the Fourth Proportional to 1,414.38, 2,122.97 and 634.96

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Solution

The fourth proportional to 1,414.38, 2,122.97 and 634.96 is: 953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.38 : 2,122.97 = 634.96 : x
  2. Step 2: Convert to fraction form
    1,414.38/2,122.97 = 634.96/x
  3. Step 3: Cross multiply
    1,414.38x = 2,122.97 × 634.96
  4. Step 4: Simplify right side
    1,414.38x = 1,347,992.55
  5. Step 5: Solve for x
    x = 1,347,992.55/1,414.38
  6. Step 6: Final answer
    x = 953.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.