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Finding the Fourth Proportional to 868.34, 1,198.36 and 514.37

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Solution

The fourth proportional to 868.34, 1,198.36 and 514.37 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.34 : 1,198.36 = 514.37 : x
  2. Step 2: Convert to fraction form
    868.34/1,198.36 = 514.37/x
  3. Step 3: Cross multiply
    868.34x = 1,198.36 × 514.37
  4. Step 4: Simplify right side
    868.34x = 616,400.43
  5. Step 5: Solve for x
    x = 616,400.43/868.34
  6. Step 6: Final answer
    x = 709.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.