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Finding the Fourth Proportional to 1,228.20, 1,839.96 and 763.80

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Solution

The fourth proportional to 1,228.20, 1,839.96 and 763.80 is: 1,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.20 : 1,839.96 = 763.80 : x
  2. Step 2: Convert to fraction form
    1,228.20/1,839.96 = 763.80/x
  3. Step 3: Cross multiply
    1,228.20x = 1,839.96 × 763.80
  4. Step 4: Simplify right side
    1,228.20x = 1,405,361.45
  5. Step 5: Solve for x
    x = 1,405,361.45/1,228.20
  6. Step 6: Final answer
    x = 1,144.24

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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.