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Finding the Fourth Proportional to 911.20, 1,246.40 and 889.60

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Solution

The fourth proportional to 911.20, 1,246.40 and 889.60 is: 1,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.20 : 1,246.40 = 889.60 : x
  2. Step 2: Convert to fraction form
    911.20/1,246.40 = 889.60/x
  3. Step 3: Cross multiply
    911.20x = 1,246.40 × 889.60
  4. Step 4: Simplify right side
    911.20x = 1,108,797.44
  5. Step 5: Solve for x
    x = 1,108,797.44/911.20
  6. Step 6: Final answer
    x = 1,216.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.