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Finding the Fourth Proportional to 1,713.54, 2,568.78 and 789.24

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Solution

The fourth proportional to 1,713.54, 2,568.78 and 789.24 is: 1,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.54 : 2,568.78 = 789.24 : x
  2. Step 2: Convert to fraction form
    1,713.54/2,568.78 = 789.24/x
  3. Step 3: Cross multiply
    1,713.54x = 2,568.78 × 789.24
  4. Step 4: Simplify right side
    1,713.54x = 2,027,383.93
  5. Step 5: Solve for x
    x = 2,027,383.93/1,713.54
  6. Step 6: Final answer
    x = 1,183.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.