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Finding the Fourth Proportional to 1,208.75, 1,813.22 and 343.06

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Solution

The fourth proportional to 1,208.75, 1,813.22 and 343.06 is: 514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.75 : 1,813.22 = 343.06 : x
  2. Step 2: Convert to fraction form
    1,208.75/1,813.22 = 343.06/x
  3. Step 3: Cross multiply
    1,208.75x = 1,813.22 × 343.06
  4. Step 4: Simplify right side
    1,208.75x = 622,039.58
  5. Step 5: Solve for x
    x = 622,039.58/1,208.75
  6. Step 6: Final answer
    x = 514.62

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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.