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Finding the Fourth Proportional to 1,251.88, 1,878.63 and 482.38

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Solution

The fourth proportional to 1,251.88, 1,878.63 and 482.38 is: 723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.88 : 1,878.63 = 482.38 : x
  2. Step 2: Convert to fraction form
    1,251.88/1,878.63 = 482.38/x
  3. Step 3: Cross multiply
    1,251.88x = 1,878.63 × 482.38
  4. Step 4: Simplify right side
    1,251.88x = 906,213.54
  5. Step 5: Solve for x
    x = 906,213.54/1,251.88
  6. Step 6: Final answer
    x = 723.88

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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.