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Finding the Fourth Proportional to 863.80, 1,191.80 and 628.08

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Solution

The fourth proportional to 863.80, 1,191.80 and 628.08 is: 866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.80 : 1,191.80 = 628.08 : x
  2. Step 2: Convert to fraction form
    863.80/1,191.80 = 628.08/x
  3. Step 3: Cross multiply
    863.80x = 1,191.80 × 628.08
  4. Step 4: Simplify right side
    863.80x = 748,545.74
  5. Step 5: Solve for x
    x = 748,545.74/863.80
  6. Step 6: Final answer
    x = 866.57

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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.