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Finding the Fourth Proportional to 863.86, 1,294.37 and 452.38

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Solution

The fourth proportional to 863.86, 1,294.37 and 452.38 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.86 : 1,294.37 = 452.38 : x
  2. Step 2: Convert to fraction form
    863.86/1,294.37 = 452.38/x
  3. Step 3: Cross multiply
    863.86x = 1,294.37 × 452.38
  4. Step 4: Simplify right side
    863.86x = 585,547.10
  5. Step 5: Solve for x
    x = 585,547.10/863.86
  6. Step 6: Final answer
    x = 677.83

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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.