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Finding the Fourth Proportional to 868.41, 1,198.44 and 514.35

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Solution

The fourth proportional to 868.41, 1,198.44 and 514.35 is: 709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.41 : 1,198.44 = 514.35 : x
  2. Step 2: Convert to fraction form
    868.41/1,198.44 = 514.35/x
  3. Step 3: Cross multiply
    868.41x = 1,198.44 × 514.35
  4. Step 4: Simplify right side
    868.41x = 616,417.61
  5. Step 5: Solve for x
    x = 616,417.61/868.41
  6. Step 6: Final answer
    x = 709.82

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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.