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Finding the Fourth Proportional to 1,107.33, 1,660.02 and 448.80

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Solution

The fourth proportional to 1,107.33, 1,660.02 and 448.80 is: 672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.33 : 1,660.02 = 448.80 : x
  2. Step 2: Convert to fraction form
    1,107.33/1,660.02 = 448.80/x
  3. Step 3: Cross multiply
    1,107.33x = 1,660.02 × 448.80
  4. Step 4: Simplify right side
    1,107.33x = 745,016.98
  5. Step 5: Solve for x
    x = 745,016.98/1,107.33
  6. Step 6: Final answer
    x = 672.80

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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.