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Finding the Fourth Proportional to 891.83, 1,229.49 and 768.80

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Solution

The fourth proportional to 891.83, 1,229.49 and 768.80 is: 1,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.83 : 1,229.49 = 768.80 : x
  2. Step 2: Convert to fraction form
    891.83/1,229.49 = 768.80/x
  3. Step 3: Cross multiply
    891.83x = 1,229.49 × 768.80
  4. Step 4: Simplify right side
    891.83x = 945,231.91
  5. Step 5: Solve for x
    x = 945,231.91/891.83
  6. Step 6: Final answer
    x = 1,059.88

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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.