Home / 1,105.20-1,657.76-411.59

Finding the Fourth Proportional to 1,105.20, 1,657.76 and 411.59

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Solution

The fourth proportional to 1,105.20, 1,657.76 and 411.59 is: 617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.20 : 1,657.76 = 411.59 : x
  2. Step 2: Convert to fraction form
    1,105.20/1,657.76 = 411.59/x
  3. Step 3: Cross multiply
    1,105.20x = 1,657.76 × 411.59
  4. Step 4: Simplify right side
    1,105.20x = 682,317.44
  5. Step 5: Solve for x
    x = 682,317.44/1,105.20
  6. Step 6: Final answer
    x = 617.37

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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.