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Finding the Fourth Proportional to 759.72, 1,138.33 and 320.61

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Solution

The fourth proportional to 759.72, 1,138.33 and 320.61 is: 480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.72 : 1,138.33 = 320.61 : x
  2. Step 2: Convert to fraction form
    759.72/1,138.33 = 320.61/x
  3. Step 3: Cross multiply
    759.72x = 1,138.33 × 320.61
  4. Step 4: Simplify right side
    759.72x = 364,959.98
  5. Step 5: Solve for x
    x = 364,959.98/759.72
  6. Step 6: Final answer
    x = 480.39

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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.