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Finding the Fourth Proportional to 863.68, 1,294.74 and 453.16

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Solution

The fourth proportional to 863.68, 1,294.74 and 453.16 is: 679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.68 : 1,294.74 = 453.16 : x
  2. Step 2: Convert to fraction form
    863.68/1,294.74 = 453.16/x
  3. Step 3: Cross multiply
    863.68x = 1,294.74 × 453.16
  4. Step 4: Simplify right side
    863.68x = 586,724.38
  5. Step 5: Solve for x
    x = 586,724.38/863.68
  6. Step 6: Final answer
    x = 679.33

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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.