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Finding the Fourth Proportional to 892.20, 1,230.42 and 560.52

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Solution

The fourth proportional to 892.20, 1,230.42 and 560.52 is: 773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.20 : 1,230.42 = 560.52 : x
  2. Step 2: Convert to fraction form
    892.20/1,230.42 = 560.52/x
  3. Step 3: Cross multiply
    892.20x = 1,230.42 × 560.52
  4. Step 4: Simplify right side
    892.20x = 689,675.02
  5. Step 5: Solve for x
    x = 689,675.02/892.20
  6. Step 6: Final answer
    x = 773.00

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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.