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Finding the Fourth Proportional to 987.60, 1,481.39 and 257.16

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Solution

The fourth proportional to 987.60, 1,481.39 and 257.16 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.60 : 1,481.39 = 257.16 : x
  2. Step 2: Convert to fraction form
    987.60/1,481.39 = 257.16/x
  3. Step 3: Cross multiply
    987.60x = 1,481.39 × 257.16
  4. Step 4: Simplify right side
    987.60x = 380,952.97
  5. Step 5: Solve for x
    x = 380,952.97/987.60
  6. Step 6: Final answer
    x = 385.74

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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.