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Finding the Fourth Proportional to 1,107.38, 1,660.23 and 668.78

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Solution

The fourth proportional to 1,107.38, 1,660.23 and 668.78 is: 1,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.38 : 1,660.23 = 668.78 : x
  2. Step 2: Convert to fraction form
    1,107.38/1,660.23 = 668.78/x
  3. Step 3: Cross multiply
    1,107.38x = 1,660.23 × 668.78
  4. Step 4: Simplify right side
    1,107.38x = 1,110,320.32
  5. Step 5: Solve for x
    x = 1,110,320.32/1,107.38
  6. Step 6: Final answer
    x = 1,002.66

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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.