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Finding the Fourth Proportional to 865.99, 1,201.19 and 834.86

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Solution

The fourth proportional to 865.99, 1,201.19 and 834.86 is: 1,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.99 : 1,201.19 = 834.86 : x
  2. Step 2: Convert to fraction form
    865.99/1,201.19 = 834.86/x
  3. Step 3: Cross multiply
    865.99x = 1,201.19 × 834.86
  4. Step 4: Simplify right side
    865.99x = 1,002,825.48
  5. Step 5: Solve for x
    x = 1,002,825.48/865.99
  6. Step 6: Final answer
    x = 1,158.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.