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Finding the Fourth Proportional to 754.26, 1,131.86 and 321.42

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Solution

The fourth proportional to 754.26, 1,131.86 and 321.42 is: 482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.26 : 1,131.86 = 321.42 : x
  2. Step 2: Convert to fraction form
    754.26/1,131.86 = 321.42/x
  3. Step 3: Cross multiply
    754.26x = 1,131.86 × 321.42
  4. Step 4: Simplify right side
    754.26x = 363,802.44
  5. Step 5: Solve for x
    x = 363,802.44/754.26
  6. Step 6: Final answer
    x = 482.33

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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.