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Finding the Fourth Proportional to 863, 1,190.68 and 531.22

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Solution

The fourth proportional to 863, 1,190.68 and 531.22 is: 732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    863 : 1,190.68 = 531.22 : x
  2. Step 2: Convert to fraction form
    863/1,190.68 = 531.22/x
  3. Step 3: Cross multiply
    863x = 1,190.68 × 531.22
  4. Step 4: Simplify right side
    863x = 632,513.03
  5. Step 5: Solve for x
    x = 632,513.03/863
  6. Step 6: Final answer
    x = 732.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.