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Finding the Fourth Proportional to 892.97, 1,231.95 and 538.99

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Solution

The fourth proportional to 892.97, 1,231.95 and 538.99 is: 743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.97 : 1,231.95 = 538.99 : x
  2. Step 2: Convert to fraction form
    892.97/1,231.95 = 538.99/x
  3. Step 3: Cross multiply
    892.97x = 1,231.95 × 538.99
  4. Step 4: Simplify right side
    892.97x = 664,002.57
  5. Step 5: Solve for x
    x = 664,002.57/892.97
  6. Step 6: Final answer
    x = 743.59

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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.