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Finding the Fourth Proportional to 733, 1,099.14 and 270.64

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Solution

The fourth proportional to 733, 1,099.14 and 270.64 is: 405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733 : 1,099.14 = 270.64 : x
  2. Step 2: Convert to fraction form
    733/1,099.14 = 270.64/x
  3. Step 3: Cross multiply
    733x = 1,099.14 × 270.64
  4. Step 4: Simplify right side
    733x = 297,471.25
  5. Step 5: Solve for x
    x = 297,471.25/733
  6. Step 6: Final answer
    x = 405.83

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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.