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Finding the Fourth Proportional to 757.44, 1,135.20 and 324.16

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Solution

The fourth proportional to 757.44, 1,135.20 and 324.16 is: 485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.44 : 1,135.20 = 324.16 : x
  2. Step 2: Convert to fraction form
    757.44/1,135.20 = 324.16/x
  3. Step 3: Cross multiply
    757.44x = 1,135.20 × 324.16
  4. Step 4: Simplify right side
    757.44x = 367,986.43
  5. Step 5: Solve for x
    x = 367,986.43/757.44
  6. Step 6: Final answer
    x = 485.83

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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.