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Finding the Fourth Proportional to 1,713.45, 2,571.02 and 789.65

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Solution

The fourth proportional to 1,713.45, 2,571.02 and 789.65 is: 1,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.45 : 2,571.02 = 789.65 : x
  2. Step 2: Convert to fraction form
    1,713.45/2,571.02 = 789.65/x
  3. Step 3: Cross multiply
    1,713.45x = 2,571.02 × 789.65
  4. Step 4: Simplify right side
    1,713.45x = 2,030,215.58
  5. Step 5: Solve for x
    x = 2,030,215.58/1,713.45
  6. Step 6: Final answer
    x = 1,184.87

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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.