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Finding the Fourth Proportional to 1,250.96, 1,724.50 and 876.76

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Solution

The fourth proportional to 1,250.96, 1,724.50 and 876.76 is: 1,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.96 : 1,724.50 = 876.76 : x
  2. Step 2: Convert to fraction form
    1,250.96/1,724.50 = 876.76/x
  3. Step 3: Cross multiply
    1,250.96x = 1,724.50 × 876.76
  4. Step 4: Simplify right side
    1,250.96x = 1,511,972.62
  5. Step 5: Solve for x
    x = 1,511,972.62/1,250.96
  6. Step 6: Final answer
    x = 1,208.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.