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Finding the Fourth Proportional to 892.23, 1,231.52 and 560.76

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Solution

The fourth proportional to 892.23, 1,231.52 and 560.76 is: 774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.23 : 1,231.52 = 560.76 : x
  2. Step 2: Convert to fraction form
    892.23/1,231.52 = 560.76/x
  3. Step 3: Cross multiply
    892.23x = 1,231.52 × 560.76
  4. Step 4: Simplify right side
    892.23x = 690,584.35
  5. Step 5: Solve for x
    x = 690,584.35/892.23
  6. Step 6: Final answer
    x = 774.00

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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.