Home / 1,191.24-1,786.34-411.10

Finding the Fourth Proportional to 1,191.24, 1,786.34 and 411.10

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Solution

The fourth proportional to 1,191.24, 1,786.34 and 411.10 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.24 : 1,786.34 = 411.10 : x
  2. Step 2: Convert to fraction form
    1,191.24/1,786.34 = 411.10/x
  3. Step 3: Cross multiply
    1,191.24x = 1,786.34 × 411.10
  4. Step 4: Simplify right side
    1,191.24x = 734,360.94
  5. Step 5: Solve for x
    x = 734,360.94/1,191.24
  6. Step 6: Final answer
    x = 616.47

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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.