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Finding the Fourth Proportional to 863.90, 1,191.26 and 568.65

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Solution

The fourth proportional to 863.90, 1,191.26 and 568.65 is: 784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.90 : 1,191.26 = 568.65 : x
  2. Step 2: Convert to fraction form
    863.90/1,191.26 = 568.65/x
  3. Step 3: Cross multiply
    863.90x = 1,191.26 × 568.65
  4. Step 4: Simplify right side
    863.90x = 677,412.69
  5. Step 5: Solve for x
    x = 677,412.69/863.90
  6. Step 6: Final answer
    x = 784.13

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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.