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Finding the Fourth Proportional to 1,186.74, 1,780.07 and 796.91

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Solution

The fourth proportional to 1,186.74, 1,780.07 and 796.91 is: 1,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.74 : 1,780.07 = 796.91 : x
  2. Step 2: Convert to fraction form
    1,186.74/1,780.07 = 796.91/x
  3. Step 3: Cross multiply
    1,186.74x = 1,780.07 × 796.91
  4. Step 4: Simplify right side
    1,186.74x = 1,418,542.70
  5. Step 5: Solve for x
    x = 1,418,542.70/1,186.74
  6. Step 6: Final answer
    x = 1,195.33

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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.