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Finding the Fourth Proportional to 1,372.38, 2,057.76 and 677.52

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Solution

The fourth proportional to 1,372.38, 2,057.76 and 677.52 is: 1,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.38 : 2,057.76 = 677.52 : x
  2. Step 2: Convert to fraction form
    1,372.38/2,057.76 = 677.52/x
  3. Step 3: Cross multiply
    1,372.38x = 2,057.76 × 677.52
  4. Step 4: Simplify right side
    1,372.38x = 1,394,173.56
  5. Step 5: Solve for x
    x = 1,394,173.56/1,372.38
  6. Step 6: Final answer
    x = 1,015.88

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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.