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Finding the Fourth Proportional to 987.74, 1,481.48 and 257.25

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Solution

The fourth proportional to 987.74, 1,481.48 and 257.25 is: 385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.74 : 1,481.48 = 257.25 : x
  2. Step 2: Convert to fraction form
    987.74/1,481.48 = 257.25/x
  3. Step 3: Cross multiply
    987.74x = 1,481.48 × 257.25
  4. Step 4: Simplify right side
    987.74x = 381,110.73
  5. Step 5: Solve for x
    x = 381,110.73/987.74
  6. Step 6: Final answer
    x = 385.84

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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.