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Finding the Fourth Proportional to 863.63, 1,191.80 and 514.31

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Solution

The fourth proportional to 863.63, 1,191.80 and 514.31 is: 709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.63 : 1,191.80 = 514.31 : x
  2. Step 2: Convert to fraction form
    863.63/1,191.80 = 514.31/x
  3. Step 3: Cross multiply
    863.63x = 1,191.80 × 514.31
  4. Step 4: Simplify right side
    863.63x = 612,954.66
  5. Step 5: Solve for x
    x = 612,954.66/863.63
  6. Step 6: Final answer
    x = 709.74

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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.