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Finding the Fourth Proportional to 891.76, 1,230.64 and 542.48

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Solution

The fourth proportional to 891.76, 1,230.64 and 542.48 is: 748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.76 : 1,230.64 = 542.48 : x
  2. Step 2: Convert to fraction form
    891.76/1,230.64 = 542.48/x
  3. Step 3: Cross multiply
    891.76x = 1,230.64 × 542.48
  4. Step 4: Simplify right side
    891.76x = 667,597.59
  5. Step 5: Solve for x
    x = 667,597.59/891.76
  6. Step 6: Final answer
    x = 748.63

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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.