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Finding the Fourth Proportional to 997.01, 1,374.11 and 882.44

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Solution

The fourth proportional to 997.01, 1,374.11 and 882.44 is: 1,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.01 : 1,374.11 = 882.44 : x
  2. Step 2: Convert to fraction form
    997.01/1,374.11 = 882.44/x
  3. Step 3: Cross multiply
    997.01x = 1,374.11 × 882.44
  4. Step 4: Simplify right side
    997.01x = 1,212,568.65
  5. Step 5: Solve for x
    x = 1,212,568.65/997.01
  6. Step 6: Final answer
    x = 1,216.20

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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.