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Finding the Fourth Proportional to 1,249.26, 1,723.98 and 689.74

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Solution

The fourth proportional to 1,249.26, 1,723.98 and 689.74 is: 951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.26 : 1,723.98 = 689.74 : x
  2. Step 2: Convert to fraction form
    1,249.26/1,723.98 = 689.74/x
  3. Step 3: Cross multiply
    1,249.26x = 1,723.98 × 689.74
  4. Step 4: Simplify right side
    1,249.26x = 1,189,097.97
  5. Step 5: Solve for x
    x = 1,189,097.97/1,249.26
  6. Step 6: Final answer
    x = 951.84

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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.