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Finding the Fourth Proportional to 1,169.58, 1,753.68 and 996.33

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Solution

The fourth proportional to 1,169.58, 1,753.68 and 996.33 is: 1,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.58 : 1,753.68 = 996.33 : x
  2. Step 2: Convert to fraction form
    1,169.58/1,753.68 = 996.33/x
  3. Step 3: Cross multiply
    1,169.58x = 1,753.68 × 996.33
  4. Step 4: Simplify right side
    1,169.58x = 1,747,243.99
  5. Step 5: Solve for x
    x = 1,747,243.99/1,169.58
  6. Step 6: Final answer
    x = 1,493.91

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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.