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Finding the Fourth Proportional to 1,108.34, 1,662.34 and 441.23

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Solution

The fourth proportional to 1,108.34, 1,662.34 and 441.23 is: 661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.34 : 1,662.34 = 441.23 : x
  2. Step 2: Convert to fraction form
    1,108.34/1,662.34 = 441.23/x
  3. Step 3: Cross multiply
    1,108.34x = 1,662.34 × 441.23
  4. Step 4: Simplify right side
    1,108.34x = 733,480.09
  5. Step 5: Solve for x
    x = 733,480.09/1,108.34
  6. Step 6: Final answer
    x = 661.79

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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.