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Finding the Fourth Proportional to 759.23, 1,138.85 and 239.22

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Solution

The fourth proportional to 759.23, 1,138.85 and 239.22 is: 358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.23 : 1,138.85 = 239.22 : x
  2. Step 2: Convert to fraction form
    759.23/1,138.85 = 239.22/x
  3. Step 3: Cross multiply
    759.23x = 1,138.85 × 239.22
  4. Step 4: Simplify right side
    759.23x = 272,435.70
  5. Step 5: Solve for x
    x = 272,435.70/759.23
  6. Step 6: Final answer
    x = 358.83

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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.