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Finding the Fourth Proportional to 1,227.92, 1,841.08 and 447.44

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Solution

The fourth proportional to 1,227.92, 1,841.08 and 447.44 is: 670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.92 : 1,841.08 = 447.44 : x
  2. Step 2: Convert to fraction form
    1,227.92/1,841.08 = 447.44/x
  3. Step 3: Cross multiply
    1,227.92x = 1,841.08 × 447.44
  4. Step 4: Simplify right side
    1,227.92x = 823,772.84
  5. Step 5: Solve for x
    x = 823,772.84/1,227.92
  6. Step 6: Final answer
    x = 670.87

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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.