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Finding the Fourth Proportional to 1,204.20, 1,806.41 and 371.45

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Solution

The fourth proportional to 1,204.20, 1,806.41 and 371.45 is: 557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.20 : 1,806.41 = 371.45 : x
  2. Step 2: Convert to fraction form
    1,204.20/1,806.41 = 371.45/x
  3. Step 3: Cross multiply
    1,204.20x = 1,806.41 × 371.45
  4. Step 4: Simplify right side
    1,204.20x = 670,996.44
  5. Step 5: Solve for x
    x = 670,996.44/1,204.20
  6. Step 6: Final answer
    x = 557.21

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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.