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Finding the Fourth Proportional to 748.18, 1,121.01 and 542.75

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Solution

The fourth proportional to 748.18, 1,121.01 and 542.75 is: 813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.18 : 1,121.01 = 542.75 : x
  2. Step 2: Convert to fraction form
    748.18/1,121.01 = 542.75/x
  3. Step 3: Cross multiply
    748.18x = 1,121.01 × 542.75
  4. Step 4: Simplify right side
    748.18x = 608,420.54
  5. Step 5: Solve for x
    x = 608,420.54/748.18
  6. Step 6: Final answer
    x = 813.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.