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Finding the Fourth Proportional to 1,286.56, 1,782.79 and 1,208.53

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Solution

The fourth proportional to 1,286.56, 1,782.79 and 1,208.53 is: 1,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.56 : 1,782.79 = 1,208.53 : x
  2. Step 2: Convert to fraction form
    1,286.56/1,782.79 = 1,208.53/x
  3. Step 3: Cross multiply
    1,286.56x = 1,782.79 × 1,208.53
  4. Step 4: Simplify right side
    1,286.56x = 2,154,555.20
  5. Step 5: Solve for x
    x = 2,154,555.20/1,286.56
  6. Step 6: Final answer
    x = 1,674.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.