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Finding the Fourth Proportional to 1,333.45, 1,839.97 and 773.97

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Solution

The fourth proportional to 1,333.45, 1,839.97 and 773.97 is: 1,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.45 : 1,839.97 = 773.97 : x
  2. Step 2: Convert to fraction form
    1,333.45/1,839.97 = 773.97/x
  3. Step 3: Cross multiply
    1,333.45x = 1,839.97 × 773.97
  4. Step 4: Simplify right side
    1,333.45x = 1,424,081.58
  5. Step 5: Solve for x
    x = 1,424,081.58/1,333.45
  6. Step 6: Final answer
    x = 1,067.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.