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Finding the Fourth Proportional to 999.75, 1,379.97 and 813.09

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Solution

The fourth proportional to 999.75, 1,379.97 and 813.09 is: 1,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.75 : 1,379.97 = 813.09 : x
  2. Step 2: Convert to fraction form
    999.75/1,379.97 = 813.09/x
  3. Step 3: Cross multiply
    999.75x = 1,379.97 × 813.09
  4. Step 4: Simplify right side
    999.75x = 1,122,039.81
  5. Step 5: Solve for x
    x = 1,122,039.81/999.75
  6. Step 6: Final answer
    x = 1,122.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.