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Finding the Fourth Proportional to 987.38, 1,481.05 and 256.96

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Solution

The fourth proportional to 987.38, 1,481.05 and 256.96 is: 385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.38 : 1,481.05 = 256.96 : x
  2. Step 2: Convert to fraction form
    987.38/1,481.05 = 256.96/x
  3. Step 3: Cross multiply
    987.38x = 1,481.05 × 256.96
  4. Step 4: Simplify right side
    987.38x = 380,570.61
  5. Step 5: Solve for x
    x = 380,570.61/987.38
  6. Step 6: Final answer
    x = 385.43

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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.