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Finding the Fourth Proportional to 1,414.22, 2,121.84 and 634.16

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Solution

The fourth proportional to 1,414.22, 2,121.84 and 634.16 is: 951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.22 : 2,121.84 = 634.16 : x
  2. Step 2: Convert to fraction form
    1,414.22/2,121.84 = 634.16/x
  3. Step 3: Cross multiply
    1,414.22x = 2,121.84 × 634.16
  4. Step 4: Simplify right side
    1,414.22x = 1,345,586.05
  5. Step 5: Solve for x
    x = 1,345,586.05/1,414.22
  6. Step 6: Final answer
    x = 951.47

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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.