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Finding the Fourth Proportional to 911.19, 1,367.19 and 564.78

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Solution

The fourth proportional to 911.19, 1,367.19 and 564.78 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.19 : 1,367.19 = 564.78 : x
  2. Step 2: Convert to fraction form
    911.19/1,367.19 = 564.78/x
  3. Step 3: Cross multiply
    911.19x = 1,367.19 × 564.78
  4. Step 4: Simplify right side
    911.19x = 772,161.57
  5. Step 5: Solve for x
    x = 772,161.57/911.19
  6. Step 6: Final answer
    x = 847.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.