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Finding the Fourth Proportional to 1,227.73, 1,842.41 and 458.23

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Solution

The fourth proportional to 1,227.73, 1,842.41 and 458.23 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.73 : 1,842.41 = 458.23 : x
  2. Step 2: Convert to fraction form
    1,227.73/1,842.41 = 458.23/x
  3. Step 3: Cross multiply
    1,227.73x = 1,842.41 × 458.23
  4. Step 4: Simplify right side
    1,227.73x = 844,236.03
  5. Step 5: Solve for x
    x = 844,236.03/1,227.73
  6. Step 6: Final answer
    x = 687.64

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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.