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Finding the Fourth Proportional to 987.49, 1,481.31 and 338.22

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Solution

The fourth proportional to 987.49, 1,481.31 and 338.22 is: 507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.49 : 1,481.31 = 338.22 : x
  2. Step 2: Convert to fraction form
    987.49/1,481.31 = 338.22/x
  3. Step 3: Cross multiply
    987.49x = 1,481.31 × 338.22
  4. Step 4: Simplify right side
    987.49x = 501,008.67
  5. Step 5: Solve for x
    x = 501,008.67/987.49
  6. Step 6: Final answer
    x = 507.36

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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.