Home / 1,463.06-2,190.30-768.08

Finding the Fourth Proportional to 1,463.06, 2,190.30 and 768.08

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Solution

The fourth proportional to 1,463.06, 2,190.30 and 768.08 is: 1,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.06 : 2,190.30 = 768.08 : x
  2. Step 2: Convert to fraction form
    1,463.06/2,190.30 = 768.08/x
  3. Step 3: Cross multiply
    1,463.06x = 2,190.30 × 768.08
  4. Step 4: Simplify right side
    1,463.06x = 1,682,325.62
  5. Step 5: Solve for x
    x = 1,682,325.62/1,463.06
  6. Step 6: Final answer
    x = 1,149.87

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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.