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Finding the Fourth Proportional to 1,108.45, 1,661.97 and 440.53

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Solution

The fourth proportional to 1,108.45, 1,661.97 and 440.53 is: 660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.45 : 1,661.97 = 440.53 : x
  2. Step 2: Convert to fraction form
    1,108.45/1,661.97 = 440.53/x
  3. Step 3: Cross multiply
    1,108.45x = 1,661.97 × 440.53
  4. Step 4: Simplify right side
    1,108.45x = 732,147.64
  5. Step 5: Solve for x
    x = 732,147.64/1,108.45
  6. Step 6: Final answer
    x = 660.51

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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.