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Finding the Fourth Proportional to 1,487.97, 2,231.31 and 447.57

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Solution

The fourth proportional to 1,487.97, 2,231.31 and 447.57 is: 671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.97 : 2,231.31 = 447.57 : x
  2. Step 2: Convert to fraction form
    1,487.97/2,231.31 = 447.57/x
  3. Step 3: Cross multiply
    1,487.97x = 2,231.31 × 447.57
  4. Step 4: Simplify right side
    1,487.97x = 998,667.42
  5. Step 5: Solve for x
    x = 998,667.42/1,487.97
  6. Step 6: Final answer
    x = 671.16

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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.