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Finding the Fourth Proportional to 1,022.20, 1,533.30 and 863.80

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Solution

The fourth proportional to 1,022.20, 1,533.30 and 863.80 is: 1,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.20 : 1,533.30 = 863.80 : x
  2. Step 2: Convert to fraction form
    1,022.20/1,533.30 = 863.80/x
  3. Step 3: Cross multiply
    1,022.20x = 1,533.30 × 863.80
  4. Step 4: Simplify right side
    1,022.20x = 1,324,464.54
  5. Step 5: Solve for x
    x = 1,324,464.54/1,022.20
  6. Step 6: Final answer
    x = 1,295.70

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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.