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Finding the Fourth Proportional to 1,159.26, 1,737.67 and 834.45

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Solution

The fourth proportional to 1,159.26, 1,737.67 and 834.45 is: 1,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.26 : 1,737.67 = 834.45 : x
  2. Step 2: Convert to fraction form
    1,159.26/1,737.67 = 834.45/x
  3. Step 3: Cross multiply
    1,159.26x = 1,737.67 × 834.45
  4. Step 4: Simplify right side
    1,159.26x = 1,449,998.73
  5. Step 5: Solve for x
    x = 1,449,998.73/1,159.26
  6. Step 6: Final answer
    x = 1,250.80

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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.