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Finding the Fourth Proportional to 759.34, 1,138.78 and 211.57

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Solution

The fourth proportional to 759.34, 1,138.78 and 211.57 is: 317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.34 : 1,138.78 = 211.57 : x
  2. Step 2: Convert to fraction form
    759.34/1,138.78 = 211.57/x
  3. Step 3: Cross multiply
    759.34x = 1,138.78 × 211.57
  4. Step 4: Simplify right side
    759.34x = 240,927.91
  5. Step 5: Solve for x
    x = 240,927.91/759.34
  6. Step 6: Final answer
    x = 317.29

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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.