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Finding the Fourth Proportional to 1,249.18, 1,723.80 and 725.20

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Solution

The fourth proportional to 1,249.18, 1,723.80 and 725.20 is: 1,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.18 : 1,723.80 = 725.20 : x
  2. Step 2: Convert to fraction form
    1,249.18/1,723.80 = 725.20/x
  3. Step 3: Cross multiply
    1,249.18x = 1,723.80 × 725.20
  4. Step 4: Simplify right side
    1,249.18x = 1,250,099.76
  5. Step 5: Solve for x
    x = 1,250,099.76/1,249.18
  6. Step 6: Final answer
    x = 1,000.74

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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.