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Finding the Fourth Proportional to 610.79, 842.29 and 560.20

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Solution

The fourth proportional to 610.79, 842.29 and 560.20 is: 772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.79 : 842.29 = 560.20 : x
  2. Step 2: Convert to fraction form
    610.79/842.29 = 560.20/x
  3. Step 3: Cross multiply
    610.79x = 842.29 × 560.20
  4. Step 4: Simplify right side
    610.79x = 471,850.86
  5. Step 5: Solve for x
    x = 471,850.86/610.79
  6. Step 6: Final answer
    x = 772.53

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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.