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Finding the Fourth Proportional to 733.38, 1,099.77 and 271.09

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Solution

The fourth proportional to 733.38, 1,099.77 and 271.09 is: 406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.38 : 1,099.77 = 271.09 : x
  2. Step 2: Convert to fraction form
    733.38/1,099.77 = 271.09/x
  3. Step 3: Cross multiply
    733.38x = 1,099.77 × 271.09
  4. Step 4: Simplify right side
    733.38x = 298,136.65
  5. Step 5: Solve for x
    x = 298,136.65/733.38
  6. Step 6: Final answer
    x = 406.52

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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.