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Finding the Fourth Proportional to 1,249.44, 1,724.24 and 725.44

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Solution

The fourth proportional to 1,249.44, 1,724.24 and 725.44 is: 1,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.44 : 1,724.24 = 725.44 : x
  2. Step 2: Convert to fraction form
    1,249.44/1,724.24 = 725.44/x
  3. Step 3: Cross multiply
    1,249.44x = 1,724.24 × 725.44
  4. Step 4: Simplify right side
    1,249.44x = 1,250,832.67
  5. Step 5: Solve for x
    x = 1,250,832.67/1,249.44
  6. Step 6: Final answer
    x = 1,001.11

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1.5x scale

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.