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Finding the Fourth Proportional to 769.32, 1,062.55 and 560.43

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Solution

The fourth proportional to 769.32, 1,062.55 and 560.43 is: 774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.32 : 1,062.55 = 560.43 : x
  2. Step 2: Convert to fraction form
    769.32/1,062.55 = 560.43/x
  3. Step 3: Cross multiply
    769.32x = 1,062.55 × 560.43
  4. Step 4: Simplify right side
    769.32x = 595,482.44
  5. Step 5: Solve for x
    x = 595,482.44/769.32
  6. Step 6: Final answer
    x = 774.04

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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.