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Finding the Fourth Proportional to 891.32, 1,229.85 and 560.16

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Solution

The fourth proportional to 891.32, 1,229.85 and 560.16 is: 772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.32 : 1,229.85 = 560.16 : x
  2. Step 2: Convert to fraction form
    891.32/1,229.85 = 560.16/x
  3. Step 3: Cross multiply
    891.32x = 1,229.85 × 560.16
  4. Step 4: Simplify right side
    891.32x = 688,912.78
  5. Step 5: Solve for x
    x = 688,912.78/891.32
  6. Step 6: Final answer
    x = 772.92

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1.5x scale

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.