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Finding the Fourth Proportional to 863.64, 1,191.96 and 514.53

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Solution

The fourth proportional to 863.64, 1,191.96 and 514.53 is: 710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.64 : 1,191.96 = 514.53 : x
  2. Step 2: Convert to fraction form
    863.64/1,191.96 = 514.53/x
  3. Step 3: Cross multiply
    863.64x = 1,191.96 × 514.53
  4. Step 4: Simplify right side
    863.64x = 613,299.18
  5. Step 5: Solve for x
    x = 613,299.18/863.64
  6. Step 6: Final answer
    x = 710.13

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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.