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Finding the Fourth Proportional to 759.44, 1,138.20 and 326.12

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Solution

The fourth proportional to 759.44, 1,138.20 and 326.12 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.44 : 1,138.20 = 326.12 : x
  2. Step 2: Convert to fraction form
    759.44/1,138.20 = 326.12/x
  3. Step 3: Cross multiply
    759.44x = 1,138.20 × 326.12
  4. Step 4: Simplify right side
    759.44x = 371,189.78
  5. Step 5: Solve for x
    x = 371,189.78/759.44
  6. Step 6: Final answer
    x = 488.77

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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.