Home / 1,180.19-1,769.67-810.56

Finding the Fourth Proportional to 1,180.19, 1,769.67 and 810.56

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Solution

The fourth proportional to 1,180.19, 1,769.67 and 810.56 is: 1,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.19 : 1,769.67 = 810.56 : x
  2. Step 2: Convert to fraction form
    1,180.19/1,769.67 = 810.56/x
  3. Step 3: Cross multiply
    1,180.19x = 1,769.67 × 810.56
  4. Step 4: Simplify right side
    1,180.19x = 1,434,414.87
  5. Step 5: Solve for x
    x = 1,434,414.87/1,180.19
  6. Step 6: Final answer
    x = 1,215.42

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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.