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Finding the Fourth Proportional to 891.75, 1,230.76 and 542.44

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Solution

The fourth proportional to 891.75, 1,230.76 and 542.44 is: 748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.75 : 1,230.76 = 542.44 : x
  2. Step 2: Convert to fraction form
    891.75/1,230.76 = 542.44/x
  3. Step 3: Cross multiply
    891.75x = 1,230.76 × 542.44
  4. Step 4: Simplify right side
    891.75x = 667,613.45
  5. Step 5: Solve for x
    x = 667,613.45/891.75
  6. Step 6: Final answer
    x = 748.66

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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.