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Finding the Fourth Proportional to 863.72, 1,191.56 and 514.34

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Solution

The fourth proportional to 863.72, 1,191.56 and 514.34 is: 709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,191.56 = 514.34 : x
  2. Step 2: Convert to fraction form
    863.72/1,191.56 = 514.34/x
  3. Step 3: Cross multiply
    863.72x = 1,191.56 × 514.34
  4. Step 4: Simplify right side
    863.72x = 612,866.97
  5. Step 5: Solve for x
    x = 612,866.97/863.72
  6. Step 6: Final answer
    x = 709.57

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1.5x scale

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.