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Finding the Fourth Proportional to 868.73, 1,198.90 and 514.86

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Solution

The fourth proportional to 868.73, 1,198.90 and 514.86 is: 710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.73 : 1,198.90 = 514.86 : x
  2. Step 2: Convert to fraction form
    868.73/1,198.90 = 514.86/x
  3. Step 3: Cross multiply
    868.73x = 1,198.90 × 514.86
  4. Step 4: Simplify right side
    868.73x = 617,271.92
  5. Step 5: Solve for x
    x = 617,271.92/868.73
  6. Step 6: Final answer
    x = 710.54

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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.