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Finding the Fourth Proportional to 733.25, 1,097.82 and 537.64

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Solution

The fourth proportional to 733.25, 1,097.82 and 537.64 is: 804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.25 : 1,097.82 = 537.64 : x
  2. Step 2: Convert to fraction form
    733.25/1,097.82 = 537.64/x
  3. Step 3: Cross multiply
    733.25x = 1,097.82 × 537.64
  4. Step 4: Simplify right side
    733.25x = 590,229.20
  5. Step 5: Solve for x
    x = 590,229.20/733.25
  6. Step 6: Final answer
    x = 804.95

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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.