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Finding the Fourth Proportional to 733.89, 1,100.78 and 271.58

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Solution

The fourth proportional to 733.89, 1,100.78 and 271.58 is: 407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.89 : 1,100.78 = 271.58 : x
  2. Step 2: Convert to fraction form
    733.89/1,100.78 = 271.58/x
  3. Step 3: Cross multiply
    733.89x = 1,100.78 × 271.58
  4. Step 4: Simplify right side
    733.89x = 298,949.83
  5. Step 5: Solve for x
    x = 298,949.83/733.89
  6. Step 6: Final answer
    x = 407.35

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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.