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Finding the Fourth Proportional to 892.23, 1,231.34 and 499.23

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Solution

The fourth proportional to 892.23, 1,231.34 and 499.23 is: 688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.23 : 1,231.34 = 499.23 : x
  2. Step 2: Convert to fraction form
    892.23/1,231.34 = 499.23/x
  3. Step 3: Cross multiply
    892.23x = 1,231.34 × 499.23
  4. Step 4: Simplify right side
    892.23x = 614,721.87
  5. Step 5: Solve for x
    x = 614,721.87/892.23
  6. Step 6: Final answer
    x = 688.97

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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.