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Finding the Fourth Proportional to 1,251.79, 1,877.14 and 481.75

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Solution

The fourth proportional to 1,251.79, 1,877.14 and 481.75 is: 722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.79 : 1,877.14 = 481.75 : x
  2. Step 2: Convert to fraction form
    1,251.79/1,877.14 = 481.75/x
  3. Step 3: Cross multiply
    1,251.79x = 1,877.14 × 481.75
  4. Step 4: Simplify right side
    1,251.79x = 904,312.20
  5. Step 5: Solve for x
    x = 904,312.20/1,251.79
  6. Step 6: Final answer
    x = 722.42

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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.