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Finding the Fourth Proportional to 863.52, 1,190.06 and 614.86

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Solution

The fourth proportional to 863.52, 1,190.06 and 614.86 is: 847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.52 : 1,190.06 = 614.86 : x
  2. Step 2: Convert to fraction form
    863.52/1,190.06 = 614.86/x
  3. Step 3: Cross multiply
    863.52x = 1,190.06 × 614.86
  4. Step 4: Simplify right side
    863.52x = 731,720.29
  5. Step 5: Solve for x
    x = 731,720.29/863.52
  6. Step 6: Final answer
    x = 847.37

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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.