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Finding the Fourth Proportional to 733.68, 1,097.82 and 679.14

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Solution

The fourth proportional to 733.68, 1,097.82 and 679.14 is: 1,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,097.82 = 679.14 : x
  2. Step 2: Convert to fraction form
    733.68/1,097.82 = 679.14/x
  3. Step 3: Cross multiply
    733.68x = 1,097.82 × 679.14
  4. Step 4: Simplify right side
    733.68x = 745,573.47
  5. Step 5: Solve for x
    x = 745,573.47/733.68
  6. Step 6: Final answer
    x = 1,016.21

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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.