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Finding the Fourth Proportional to 1,249.14, 1,723.77 and 725.10

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Solution

The fourth proportional to 1,249.14, 1,723.77 and 725.10 is: 1,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.14 : 1,723.77 = 725.10 : x
  2. Step 2: Convert to fraction form
    1,249.14/1,723.77 = 725.10/x
  3. Step 3: Cross multiply
    1,249.14x = 1,723.77 × 725.10
  4. Step 4: Simplify right side
    1,249.14x = 1,249,905.63
  5. Step 5: Solve for x
    x = 1,249,905.63/1,249.14
  6. Step 6: Final answer
    x = 1,000.61

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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.