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Finding the Fourth Proportional to 1,198.69, 1,790.66 and 866.79

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Solution

The fourth proportional to 1,198.69, 1,790.66 and 866.79 is: 1,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.69 : 1,790.66 = 866.79 : x
  2. Step 2: Convert to fraction form
    1,198.69/1,790.66 = 866.79/x
  3. Step 3: Cross multiply
    1,198.69x = 1,790.66 × 866.79
  4. Step 4: Simplify right side
    1,198.69x = 1,552,121.85
  5. Step 5: Solve for x
    x = 1,552,121.85/1,198.69
  6. Step 6: Final answer
    x = 1,294.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.