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Finding the Fourth Proportional to 733.98, 1,101.41 and 272.09

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Solution

The fourth proportional to 733.98, 1,101.41 and 272.09 is: 408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.98 : 1,101.41 = 272.09 : x
  2. Step 2: Convert to fraction form
    733.98/1,101.41 = 272.09/x
  3. Step 3: Cross multiply
    733.98x = 1,101.41 × 272.09
  4. Step 4: Simplify right side
    733.98x = 299,678.86
  5. Step 5: Solve for x
    x = 299,678.86/733.98
  6. Step 6: Final answer
    x = 408.29

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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.