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Finding the Fourth Proportional to 1,414.43, 2,121.56 and 634.23

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Solution

The fourth proportional to 1,414.43, 2,121.56 and 634.23 is: 951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.43 : 2,121.56 = 634.23 : x
  2. Step 2: Convert to fraction form
    1,414.43/2,121.56 = 634.23/x
  3. Step 3: Cross multiply
    1,414.43x = 2,121.56 × 634.23
  4. Step 4: Simplify right side
    1,414.43x = 1,345,546.39
  5. Step 5: Solve for x
    x = 1,345,546.39/1,414.43
  6. Step 6: Final answer
    x = 951.30

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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.