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Finding the Fourth Proportional to 1,249.91, 1,874.14 and 427.97

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Solution

The fourth proportional to 1,249.91, 1,874.14 and 427.97 is: 641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.91 : 1,874.14 = 427.97 : x
  2. Step 2: Convert to fraction form
    1,249.91/1,874.14 = 427.97/x
  3. Step 3: Cross multiply
    1,249.91x = 1,874.14 × 427.97
  4. Step 4: Simplify right side
    1,249.91x = 802,066.33
  5. Step 5: Solve for x
    x = 802,066.33/1,249.91
  6. Step 6: Final answer
    x = 641.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.