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Finding the Fourth Proportional to 863.60, 1,296.12 and 671.60

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Solution

The fourth proportional to 863.60, 1,296.12 and 671.60 is: 1,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.60 : 1,296.12 = 671.60 : x
  2. Step 2: Convert to fraction form
    863.60/1,296.12 = 671.60/x
  3. Step 3: Cross multiply
    863.60x = 1,296.12 × 671.60
  4. Step 4: Simplify right side
    863.60x = 870,474.19
  5. Step 5: Solve for x
    x = 870,474.19/863.60
  6. Step 6: Final answer
    x = 1,007.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.