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Finding the Fourth Proportional to 1,290.78, 1,936.68 and 550.56

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Solution

The fourth proportional to 1,290.78, 1,936.68 and 550.56 is: 826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.78 : 1,936.68 = 550.56 : x
  2. Step 2: Convert to fraction form
    1,290.78/1,936.68 = 550.56/x
  3. Step 3: Cross multiply
    1,290.78x = 1,936.68 × 550.56
  4. Step 4: Simplify right side
    1,290.78x = 1,066,258.54
  5. Step 5: Solve for x
    x = 1,066,258.54/1,290.78
  6. Step 6: Final answer
    x = 826.06

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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.