Home / 1,180.24-1,769.20-563.78

Finding the Fourth Proportional to 1,180.24, 1,769.20 and 563.78

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Solution

The fourth proportional to 1,180.24, 1,769.20 and 563.78 is: 845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.24 : 1,769.20 = 563.78 : x
  2. Step 2: Convert to fraction form
    1,180.24/1,769.20 = 563.78/x
  3. Step 3: Cross multiply
    1,180.24x = 1,769.20 × 563.78
  4. Step 4: Simplify right side
    1,180.24x = 997,439.58
  5. Step 5: Solve for x
    x = 997,439.58/1,180.24
  6. Step 6: Final answer
    x = 845.12

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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.