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Finding the Fourth Proportional to 1,251.38, 1,877.43 and 385.82

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Solution

The fourth proportional to 1,251.38, 1,877.43 and 385.82 is: 578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.38 : 1,877.43 = 385.82 : x
  2. Step 2: Convert to fraction form
    1,251.38/1,877.43 = 385.82/x
  3. Step 3: Cross multiply
    1,251.38x = 1,877.43 × 385.82
  4. Step 4: Simplify right side
    1,251.38x = 724,350.04
  5. Step 5: Solve for x
    x = 724,350.04/1,251.38
  6. Step 6: Final answer
    x = 578.84

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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.