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Finding the Fourth Proportional to 1,414.32, 1,951.16 and 1,000.88

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Solution

The fourth proportional to 1,414.32, 1,951.16 and 1,000.88 is: 1,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.32 : 1,951.16 = 1,000.88 : x
  2. Step 2: Convert to fraction form
    1,414.32/1,951.16 = 1,000.88/x
  3. Step 3: Cross multiply
    1,414.32x = 1,951.16 × 1,000.88
  4. Step 4: Simplify right side
    1,414.32x = 1,952,877.02
  5. Step 5: Solve for x
    x = 1,952,877.02/1,414.32
  6. Step 6: Final answer
    x = 1,380.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.