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Finding the Fourth Proportional to 1,249.74, 1,724.09 and 725.47

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Solution

The fourth proportional to 1,249.74, 1,724.09 and 725.47 is: 1,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.74 : 1,724.09 = 725.47 : x
  2. Step 2: Convert to fraction form
    1,249.74/1,724.09 = 725.47/x
  3. Step 3: Cross multiply
    1,249.74x = 1,724.09 × 725.47
  4. Step 4: Simplify right side
    1,249.74x = 1,250,767.63
  5. Step 5: Solve for x
    x = 1,250,767.63/1,249.74
  6. Step 6: Final answer
    x = 1,000.82

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Why These Related Problems?

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