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Finding the Fourth Proportional to 1,628.73, 2,443.21 and 654.83

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Solution

The fourth proportional to 1,628.73, 2,443.21 and 654.83 is: 982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.73 : 2,443.21 = 654.83 : x
  2. Step 2: Convert to fraction form
    1,628.73/2,443.21 = 654.83/x
  3. Step 3: Cross multiply
    1,628.73x = 2,443.21 × 654.83
  4. Step 4: Simplify right side
    1,628.73x = 1,599,891.68
  5. Step 5: Solve for x
    x = 1,599,891.68/1,628.73
  6. Step 6: Final answer
    x = 982.29

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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.