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Finding the Fourth Proportional to 1,249.61, 1,874.21 and 427.73

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Solution

The fourth proportional to 1,249.61, 1,874.21 and 427.73 is: 641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.61 : 1,874.21 = 427.73 : x
  2. Step 2: Convert to fraction form
    1,249.61/1,874.21 = 427.73/x
  3. Step 3: Cross multiply
    1,249.61x = 1,874.21 × 427.73
  4. Step 4: Simplify right side
    1,249.61x = 801,644.33
  5. Step 5: Solve for x
    x = 801,644.33/1,249.61
  6. Step 6: Final answer
    x = 641.52

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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.