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Finding the Fourth Proportional to 1,349.20, 2,022.60 and 800.80

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Solution

The fourth proportional to 1,349.20, 2,022.60 and 800.80 is: 1,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.20 : 2,022.60 = 800.80 : x
  2. Step 2: Convert to fraction form
    1,349.20/2,022.60 = 800.80/x
  3. Step 3: Cross multiply
    1,349.20x = 2,022.60 × 800.80
  4. Step 4: Simplify right side
    1,349.20x = 1,619,698.08
  5. Step 5: Solve for x
    x = 1,619,698.08/1,349.20
  6. Step 6: Final answer
    x = 1,200.49

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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.