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Finding the Fourth Proportional to 1,251.30, 1,876.95 and 385.62

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Solution

The fourth proportional to 1,251.30, 1,876.95 and 385.62 is: 578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.30 : 1,876.95 = 385.62 : x
  2. Step 2: Convert to fraction form
    1,251.30/1,876.95 = 385.62/x
  3. Step 3: Cross multiply
    1,251.30x = 1,876.95 × 385.62
  4. Step 4: Simplify right side
    1,251.30x = 723,789.46
  5. Step 5: Solve for x
    x = 723,789.46/1,251.30
  6. Step 6: Final answer
    x = 578.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.