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Finding the Fourth Proportional to 868.96, 1,197.60 and 721.60

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Solution

The fourth proportional to 868.96, 1,197.60 and 721.60 is: 994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.96 : 1,197.60 = 721.60 : x
  2. Step 2: Convert to fraction form
    868.96/1,197.60 = 721.60/x
  3. Step 3: Cross multiply
    868.96x = 1,197.60 × 721.60
  4. Step 4: Simplify right side
    868.96x = 864,188.16
  5. Step 5: Solve for x
    x = 864,188.16/868.96
  6. Step 6: Final answer
    x = 994.51

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