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Finding the Fourth Proportional to 733.47, 1,099.49 and 271.11

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Solution

The fourth proportional to 733.47, 1,099.49 and 271.11 is: 406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.47 : 1,099.49 = 271.11 : x
  2. Step 2: Convert to fraction form
    733.47/1,099.49 = 271.11/x
  3. Step 3: Cross multiply
    733.47x = 1,099.49 × 271.11
  4. Step 4: Simplify right side
    733.47x = 298,085.50
  5. Step 5: Solve for x
    x = 298,085.50/733.47
  6. Step 6: Final answer
    x = 406.41

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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.