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Finding the Fourth Proportional to 733.54, 1,100.22 and 271.06

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Solution

The fourth proportional to 733.54, 1,100.22 and 271.06 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.54 : 1,100.22 = 271.06 : x
  2. Step 2: Convert to fraction form
    733.54/1,100.22 = 271.06/x
  3. Step 3: Cross multiply
    733.54x = 1,100.22 × 271.06
  4. Step 4: Simplify right side
    733.54x = 298,225.63
  5. Step 5: Solve for x
    x = 298,225.63/733.54
  6. Step 6: Final answer
    x = 406.56

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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.