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Finding the Fourth Proportional to 733.08, 1,098.85 and 270.57

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Solution

The fourth proportional to 733.08, 1,098.85 and 270.57 is: 405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.08 : 1,098.85 = 270.57 : x
  2. Step 2: Convert to fraction form
    733.08/1,098.85 = 270.57/x
  3. Step 3: Cross multiply
    733.08x = 1,098.85 × 270.57
  4. Step 4: Simplify right side
    733.08x = 297,310.69
  5. Step 5: Solve for x
    x = 297,310.69/733.08
  6. Step 6: Final answer
    x = 405.56

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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.