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Finding the Fourth Proportional to 863.68, 1,192.08 and 514.56

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Solution

The fourth proportional to 863.68, 1,192.08 and 514.56 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.68 : 1,192.08 = 514.56 : x
  2. Step 2: Convert to fraction form
    863.68/1,192.08 = 514.56/x
  3. Step 3: Cross multiply
    863.68x = 1,192.08 × 514.56
  4. Step 4: Simplify right side
    863.68x = 613,396.68
  5. Step 5: Solve for x
    x = 613,396.68/863.68
  6. Step 6: Final answer
    x = 710.21

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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.