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Finding the Fourth Proportional to 733.10, 1,099.82 and 270.88

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Solution

The fourth proportional to 733.10, 1,099.82 and 270.88 is: 406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.10 : 1,099.82 = 270.88 : x
  2. Step 2: Convert to fraction form
    733.10/1,099.82 = 270.88/x
  3. Step 3: Cross multiply
    733.10x = 1,099.82 × 270.88
  4. Step 4: Simplify right side
    733.10x = 297,919.24
  5. Step 5: Solve for x
    x = 297,919.24/733.10
  6. Step 6: Final answer
    x = 406.38

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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.