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Finding the Fourth Proportional to 1,250.86, 1,876.29 and 385.18

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Solution

The fourth proportional to 1,250.86, 1,876.29 and 385.18 is: 577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.86 : 1,876.29 = 385.18 : x
  2. Step 2: Convert to fraction form
    1,250.86/1,876.29 = 385.18/x
  3. Step 3: Cross multiply
    1,250.86x = 1,876.29 × 385.18
  4. Step 4: Simplify right side
    1,250.86x = 722,709.38
  5. Step 5: Solve for x
    x = 722,709.38/1,250.86
  6. Step 6: Final answer
    x = 577.77

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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.