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Finding the Fourth Proportional to 1,202.74, 1,804.56 and 422.80

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Solution

The fourth proportional to 1,202.74, 1,804.56 and 422.80 is: 634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.74 : 1,804.56 = 422.80 : x
  2. Step 2: Convert to fraction form
    1,202.74/1,804.56 = 422.80/x
  3. Step 3: Cross multiply
    1,202.74x = 1,804.56 × 422.80
  4. Step 4: Simplify right side
    1,202.74x = 762,967.97
  5. Step 5: Solve for x
    x = 762,967.97/1,202.74
  6. Step 6: Final answer
    x = 634.36

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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.