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Finding the Fourth Proportional to 863.46, 1,191.92 and 568.62

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Solution

The fourth proportional to 863.46, 1,191.92 and 568.62 is: 784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.46 : 1,191.92 = 568.62 : x
  2. Step 2: Convert to fraction form
    863.46/1,191.92 = 568.62/x
  3. Step 3: Cross multiply
    863.46x = 1,191.92 × 568.62
  4. Step 4: Simplify right side
    863.46x = 677,746.71
  5. Step 5: Solve for x
    x = 677,746.71/863.46
  6. Step 6: Final answer
    x = 784.92

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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.