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Finding the Fourth Proportional to 733.48, 1,100.22 and 343.48

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Solution

The fourth proportional to 733.48, 1,100.22 and 343.48 is: 515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.48 : 1,100.22 = 343.48 : x
  2. Step 2: Convert to fraction form
    733.48/1,100.22 = 343.48/x
  3. Step 3: Cross multiply
    733.48x = 1,100.22 × 343.48
  4. Step 4: Simplify right side
    733.48x = 377,903.57
  5. Step 5: Solve for x
    x = 377,903.57/733.48
  6. Step 6: Final answer
    x = 515.22

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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.