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Finding the Fourth Proportional to 733.15, 1,098.73 and 270.49

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Solution

The fourth proportional to 733.15, 1,098.73 and 270.49 is: 405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.15 : 1,098.73 = 270.49 : x
  2. Step 2: Convert to fraction form
    733.15/1,098.73 = 270.49/x
  3. Step 3: Cross multiply
    733.15x = 1,098.73 × 270.49
  4. Step 4: Simplify right side
    733.15x = 297,194.80
  5. Step 5: Solve for x
    x = 297,194.80/733.15
  6. Step 6: Final answer
    x = 405.37

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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.