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Finding the Fourth Proportional to 1,251.14, 1,876.94 and 385.25

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Solution

The fourth proportional to 1,251.14, 1,876.94 and 385.25 is: 577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.14 : 1,876.94 = 385.25 : x
  2. Step 2: Convert to fraction form
    1,251.14/1,876.94 = 385.25/x
  3. Step 3: Cross multiply
    1,251.14x = 1,876.94 × 385.25
  4. Step 4: Simplify right side
    1,251.14x = 723,089.21
  5. Step 5: Solve for x
    x = 723,089.21/1,251.14
  6. Step 6: Final answer
    x = 577.94

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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.