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Finding the Fourth Proportional to 911.97, 1,367.28 and 564.78

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Solution

The fourth proportional to 911.97, 1,367.28 and 564.78 is: 846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.97 : 1,367.28 = 564.78 : x
  2. Step 2: Convert to fraction form
    911.97/1,367.28 = 564.78/x
  3. Step 3: Cross multiply
    911.97x = 1,367.28 × 564.78
  4. Step 4: Simplify right side
    911.97x = 772,212.40
  5. Step 5: Solve for x
    x = 772,212.40/911.97
  6. Step 6: Final answer
    x = 846.75

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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.