Home / 1,099.20-1,648.62-406.19

Finding the Fourth Proportional to 1,099.20, 1,648.62 and 406.19

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Solution

The fourth proportional to 1,099.20, 1,648.62 and 406.19 is: 609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.20 : 1,648.62 = 406.19 : x
  2. Step 2: Convert to fraction form
    1,099.20/1,648.62 = 406.19/x
  3. Step 3: Cross multiply
    1,099.20x = 1,648.62 × 406.19
  4. Step 4: Simplify right side
    1,099.20x = 669,657.08
  5. Step 5: Solve for x
    x = 669,657.08/1,099.20
  6. Step 6: Final answer
    x = 609.22

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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.