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Finding the Fourth Proportional to 911.26, 1,366.84 and 261.97

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Solution

The fourth proportional to 911.26, 1,366.84 and 261.97 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.26 : 1,366.84 = 261.97 : x
  2. Step 2: Convert to fraction form
    911.26/1,366.84 = 261.97/x
  3. Step 3: Cross multiply
    911.26x = 1,366.84 × 261.97
  4. Step 4: Simplify right side
    911.26x = 358,071.07
  5. Step 5: Solve for x
    x = 358,071.07/911.26
  6. Step 6: Final answer
    x = 392.94

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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.