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Finding the Fourth Proportional to 1,251.68, 1,877.52 and 482

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Solution

The fourth proportional to 1,251.68, 1,877.52 and 482 is: 723

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.68 : 1,877.52 = 482 : x
  2. Step 2: Convert to fraction form
    1,251.68/1,877.52 = 482/x
  3. Step 3: Cross multiply
    1,251.68x = 1,877.52 × 482
  4. Step 4: Simplify right side
    1,251.68x = 904,964.64
  5. Step 5: Solve for x
    x = 904,964.64/1,251.68
  6. Step 6: Final answer
    x = 723

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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.