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Finding the Fourth Proportional to 987.63, 1,481.42 and 257.22

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Solution

The fourth proportional to 987.63, 1,481.42 and 257.22 is: 385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.63 : 1,481.42 = 257.22 : x
  2. Step 2: Convert to fraction form
    987.63/1,481.42 = 257.22/x
  3. Step 3: Cross multiply
    987.63x = 1,481.42 × 257.22
  4. Step 4: Simplify right side
    987.63x = 381,049.57
  5. Step 5: Solve for x
    x = 381,049.57/987.63
  6. Step 6: Final answer
    x = 385.82

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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.