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Finding the Fourth Proportional to 1,278.56, 1,918.52 and 548.68

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Solution

The fourth proportional to 1,278.56, 1,918.52 and 548.68 is: 823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.56 : 1,918.52 = 548.68 : x
  2. Step 2: Convert to fraction form
    1,278.56/1,918.52 = 548.68/x
  3. Step 3: Cross multiply
    1,278.56x = 1,918.52 × 548.68
  4. Step 4: Simplify right side
    1,278.56x = 1,052,653.55
  5. Step 5: Solve for x
    x = 1,052,653.55/1,278.56
  6. Step 6: Final answer
    x = 823.31

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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.