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Finding the Fourth Proportional to 759, 1,138.48 and 211.16

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Solution

The fourth proportional to 759, 1,138.48 and 211.16 is: 316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    759 : 1,138.48 = 211.16 : x
  2. Step 2: Convert to fraction form
    759/1,138.48 = 211.16/x
  3. Step 3: Cross multiply
    759x = 1,138.48 × 211.16
  4. Step 4: Simplify right side
    759x = 240,401.44
  5. Step 5: Solve for x
    x = 240,401.44/759
  6. Step 6: Final answer
    x = 316.73

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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.