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Finding the Fourth Proportional to 892.24, 1,231.24 and 499.24

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Solution

The fourth proportional to 892.24, 1,231.24 and 499.24 is: 688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.24 : 1,231.24 = 499.24 : x
  2. Step 2: Convert to fraction form
    892.24/1,231.24 = 499.24/x
  3. Step 3: Cross multiply
    892.24x = 1,231.24 × 499.24
  4. Step 4: Simplify right side
    892.24x = 614,684.26
  5. Step 5: Solve for x
    x = 614,684.26/892.24
  6. Step 6: Final answer
    x = 688.92

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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.