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Finding the Fourth Proportional to 880.82, 1,217.94 and 866.90

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Solution

The fourth proportional to 880.82, 1,217.94 and 866.90 is: 1,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.82 : 1,217.94 = 866.90 : x
  2. Step 2: Convert to fraction form
    880.82/1,217.94 = 866.90/x
  3. Step 3: Cross multiply
    880.82x = 1,217.94 × 866.90
  4. Step 4: Simplify right side
    880.82x = 1,055,832.19
  5. Step 5: Solve for x
    x = 1,055,832.19/880.82
  6. Step 6: Final answer
    x = 1,198.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.