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Finding the Fourth Proportional to 733.43, 1,099.62 and 367.97

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Solution

The fourth proportional to 733.43, 1,099.62 and 367.97 is: 551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.43 : 1,099.62 = 367.97 : x
  2. Step 2: Convert to fraction form
    733.43/1,099.62 = 367.97/x
  3. Step 3: Cross multiply
    733.43x = 1,099.62 × 367.97
  4. Step 4: Simplify right side
    733.43x = 404,621.67
  5. Step 5: Solve for x
    x = 404,621.67/733.43
  6. Step 6: Final answer
    x = 551.69

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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.