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Finding the Fourth Proportional to 1,336.06, 1,843.77 and 811.98

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Solution

The fourth proportional to 1,336.06, 1,843.77 and 811.98 is: 1,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.06 : 1,843.77 = 811.98 : x
  2. Step 2: Convert to fraction form
    1,336.06/1,843.77 = 811.98/x
  3. Step 3: Cross multiply
    1,336.06x = 1,843.77 × 811.98
  4. Step 4: Simplify right side
    1,336.06x = 1,497,104.36
  5. Step 5: Solve for x
    x = 1,497,104.36/1,336.06
  6. Step 6: Final answer
    x = 1,120.54

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