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Finding the Fourth Proportional to 891.64, 1,230.24 and 542.28

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Solution

The fourth proportional to 891.64, 1,230.24 and 542.28 is: 748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.64 : 1,230.24 = 542.28 : x
  2. Step 2: Convert to fraction form
    891.64/1,230.24 = 542.28/x
  3. Step 3: Cross multiply
    891.64x = 1,230.24 × 542.28
  4. Step 4: Simplify right side
    891.64x = 667,134.55
  5. Step 5: Solve for x
    x = 667,134.55/891.64
  6. Step 6: Final answer
    x = 748.21

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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.