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Finding the Fourth Proportional to 1,376.32, 2,063.76 and 725.44

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Solution

The fourth proportional to 1,376.32, 2,063.76 and 725.44 is: 1,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.32 : 2,063.76 = 725.44 : x
  2. Step 2: Convert to fraction form
    1,376.32/2,063.76 = 725.44/x
  3. Step 3: Cross multiply
    1,376.32x = 2,063.76 × 725.44
  4. Step 4: Simplify right side
    1,376.32x = 1,497,134.05
  5. Step 5: Solve for x
    x = 1,497,134.05/1,376.32
  6. Step 6: Final answer
    x = 1,087.78

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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.