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Finding the Fourth Proportional to 733.62, 1,100.34 and 213.60

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Solution

The fourth proportional to 733.62, 1,100.34 and 213.60 is: 320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.62 : 1,100.34 = 213.60 : x
  2. Step 2: Convert to fraction form
    733.62/1,100.34 = 213.60/x
  3. Step 3: Cross multiply
    733.62x = 1,100.34 × 213.60
  4. Step 4: Simplify right side
    733.62x = 235,032.62
  5. Step 5: Solve for x
    x = 235,032.62/733.62
  6. Step 6: Final answer
    x = 320.37

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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.