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Finding the Fourth Proportional to 863.20, 1,295.12 and 452.08

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Solution

The fourth proportional to 863.20, 1,295.12 and 452.08 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.20 : 1,295.12 = 452.08 : x
  2. Step 2: Convert to fraction form
    863.20/1,295.12 = 452.08/x
  3. Step 3: Cross multiply
    863.20x = 1,295.12 × 452.08
  4. Step 4: Simplify right side
    863.20x = 585,497.85
  5. Step 5: Solve for x
    x = 585,497.85/863.20
  6. Step 6: Final answer
    x = 678.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.