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Finding the Fourth Proportional to 1,251.14, 1,876.62 and 385.40

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Solution

The fourth proportional to 1,251.14, 1,876.62 and 385.40 is: 578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.14 : 1,876.62 = 385.40 : x
  2. Step 2: Convert to fraction form
    1,251.14/1,876.62 = 385.40/x
  3. Step 3: Cross multiply
    1,251.14x = 1,876.62 × 385.40
  4. Step 4: Simplify right side
    1,251.14x = 723,249.35
  5. Step 5: Solve for x
    x = 723,249.35/1,251.14
  6. Step 6: Final answer
    x = 578.07

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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.