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Finding the Fourth Proportional to 1,323.13, 1,983.26 and 996.25

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Solution

The fourth proportional to 1,323.13, 1,983.26 and 996.25 is: 1,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.13 : 1,983.26 = 996.25 : x
  2. Step 2: Convert to fraction form
    1,323.13/1,983.26 = 996.25/x
  3. Step 3: Cross multiply
    1,323.13x = 1,983.26 × 996.25
  4. Step 4: Simplify right side
    1,323.13x = 1,975,817.79
  5. Step 5: Solve for x
    x = 1,975,817.79/1,323.13
  6. Step 6: Final answer
    x = 1,493.29

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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.