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Finding the Fourth Proportional to 733.20, 1,012.23 and 484.43

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Solution

The fourth proportional to 733.20, 1,012.23 and 484.43 is: 668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.20 : 1,012.23 = 484.43 : x
  2. Step 2: Convert to fraction form
    733.20/1,012.23 = 484.43/x
  3. Step 3: Cross multiply
    733.20x = 1,012.23 × 484.43
  4. Step 4: Simplify right side
    733.20x = 490,349.52
  5. Step 5: Solve for x
    x = 490,349.52/733.20
  6. Step 6: Final answer
    x = 668.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.