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Finding the Fourth Proportional to 1,396.33, 2,093.97 and 811.48

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Solution

The fourth proportional to 1,396.33, 2,093.97 and 811.48 is: 1,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.33 : 2,093.97 = 811.48 : x
  2. Step 2: Convert to fraction form
    1,396.33/2,093.97 = 811.48/x
  3. Step 3: Cross multiply
    1,396.33x = 2,093.97 × 811.48
  4. Step 4: Simplify right side
    1,396.33x = 1,699,214.78
  5. Step 5: Solve for x
    x = 1,699,214.78/1,396.33
  6. Step 6: Final answer
    x = 1,216.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.