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Finding the Fourth Proportional to 733.80, 1,100.70 and 721.65

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Solution

The fourth proportional to 733.80, 1,100.70 and 721.65 is: 1,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.80 : 1,100.70 = 721.65 : x
  2. Step 2: Convert to fraction form
    733.80/1,100.70 = 721.65/x
  3. Step 3: Cross multiply
    733.80x = 1,100.70 × 721.65
  4. Step 4: Simplify right side
    733.80x = 794,320.16
  5. Step 5: Solve for x
    x = 794,320.16/733.80
  6. Step 6: Final answer
    x = 1,082.48

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