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Finding the Fourth Proportional to 753.80, 1,131.24 and 321.26

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Solution

The fourth proportional to 753.80, 1,131.24 and 321.26 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.80 : 1,131.24 = 321.26 : x
  2. Step 2: Convert to fraction form
    753.80/1,131.24 = 321.26/x
  3. Step 3: Cross multiply
    753.80x = 1,131.24 × 321.26
  4. Step 4: Simplify right side
    753.80x = 363,422.16
  5. Step 5: Solve for x
    x = 363,422.16/753.80
  6. Step 6: Final answer
    x = 482.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.