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Finding the Fourth Proportional to 987.10, 1,362.17 and 538.97

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Solution

The fourth proportional to 987.10, 1,362.17 and 538.97 is: 743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.10 : 1,362.17 = 538.97 : x
  2. Step 2: Convert to fraction form
    987.10/1,362.17 = 538.97/x
  3. Step 3: Cross multiply
    987.10x = 1,362.17 × 538.97
  4. Step 4: Simplify right side
    987.10x = 734,168.76
  5. Step 5: Solve for x
    x = 734,168.76/987.10
  6. Step 6: Final answer
    x = 743.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.