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Finding the Fourth Proportional to 891.98, 1,230.08 and 542.46

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Solution

The fourth proportional to 891.98, 1,230.08 and 542.46 is: 748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.98 : 1,230.08 = 542.46 : x
  2. Step 2: Convert to fraction form
    891.98/1,230.08 = 542.46/x
  3. Step 3: Cross multiply
    891.98x = 1,230.08 × 542.46
  4. Step 4: Simplify right side
    891.98x = 667,266.48
  5. Step 5: Solve for x
    x = 667,266.48/891.98
  6. Step 6: Final answer
    x = 748.08

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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.