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Finding the Fourth Proportional to 1,205.86, 1,805.87 and 834.62

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Solution

The fourth proportional to 1,205.86, 1,805.87 and 834.62 is: 1,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.86 : 1,805.87 = 834.62 : x
  2. Step 2: Convert to fraction form
    1,205.86/1,805.87 = 834.62/x
  3. Step 3: Cross multiply
    1,205.86x = 1,805.87 × 834.62
  4. Step 4: Simplify right side
    1,205.86x = 1,507,215.56
  5. Step 5: Solve for x
    x = 1,507,215.56/1,205.86
  6. Step 6: Final answer
    x = 1,249.91

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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.