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Finding the Fourth Proportional to 892.44, 1,231.52 and 494.10

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Solution

The fourth proportional to 892.44, 1,231.52 and 494.10 is: 681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.44 : 1,231.52 = 494.10 : x
  2. Step 2: Convert to fraction form
    892.44/1,231.52 = 494.10/x
  3. Step 3: Cross multiply
    892.44x = 1,231.52 × 494.10
  4. Step 4: Simplify right side
    892.44x = 608,491.56
  5. Step 5: Solve for x
    x = 608,491.56/892.44
  6. Step 6: Final answer
    x = 681.83

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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.