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Finding the Fourth Proportional to 987.76, 1,481.10 and 411.04

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Solution

The fourth proportional to 987.76, 1,481.10 and 411.04 is: 616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.76 : 1,481.10 = 411.04 : x
  2. Step 2: Convert to fraction form
    987.76/1,481.10 = 411.04/x
  3. Step 3: Cross multiply
    987.76x = 1,481.10 × 411.04
  4. Step 4: Simplify right side
    987.76x = 608,791.34
  5. Step 5: Solve for x
    x = 608,791.34/987.76
  6. Step 6: Final answer
    x = 616.34

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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.