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Finding the Fourth Proportional to 1,633.71, 2,450.49 and 401.13

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Solution

The fourth proportional to 1,633.71, 2,450.49 and 401.13 is: 601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.71 : 2,450.49 = 401.13 : x
  2. Step 2: Convert to fraction form
    1,633.71/2,450.49 = 401.13/x
  3. Step 3: Cross multiply
    1,633.71x = 2,450.49 × 401.13
  4. Step 4: Simplify right side
    1,633.71x = 982,965.05
  5. Step 5: Solve for x
    x = 982,965.05/1,633.71
  6. Step 6: Final answer
    x = 601.68

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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.