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Finding the Fourth Proportional to 868.14, 1,197.70 and 489.96

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Solution

The fourth proportional to 868.14, 1,197.70 and 489.96 is: 675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.14 : 1,197.70 = 489.96 : x
  2. Step 2: Convert to fraction form
    868.14/1,197.70 = 489.96/x
  3. Step 3: Cross multiply
    868.14x = 1,197.70 × 489.96
  4. Step 4: Simplify right side
    868.14x = 586,825.09
  5. Step 5: Solve for x
    x = 586,825.09/868.14
  6. Step 6: Final answer
    x = 675.96

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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.