Home / 1,165.46-1,747.77-395.78

Finding the Fourth Proportional to 1,165.46, 1,747.77 and 395.78

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Solution

The fourth proportional to 1,165.46, 1,747.77 and 395.78 is: 593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.46 : 1,747.77 = 395.78 : x
  2. Step 2: Convert to fraction form
    1,165.46/1,747.77 = 395.78/x
  3. Step 3: Cross multiply
    1,165.46x = 1,747.77 × 395.78
  4. Step 4: Simplify right side
    1,165.46x = 691,732.41
  5. Step 5: Solve for x
    x = 691,732.41/1,165.46
  6. Step 6: Final answer
    x = 593.53

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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.