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Finding the Fourth Proportional to 911.91, 1,259.89 and 866.96

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Solution

The fourth proportional to 911.91, 1,259.89 and 866.96 is: 1,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.91 : 1,259.89 = 866.96 : x
  2. Step 2: Convert to fraction form
    911.91/1,259.89 = 866.96/x
  3. Step 3: Cross multiply
    911.91x = 1,259.89 × 866.96
  4. Step 4: Simplify right side
    911.91x = 1,092,274.23
  5. Step 5: Solve for x
    x = 1,092,274.23/911.91
  6. Step 6: Final answer
    x = 1,197.79

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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.