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Finding the Fourth Proportional to 1,205.82, 1,675.53 and 1,200.96

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Solution

The fourth proportional to 1,205.82, 1,675.53 and 1,200.96 is: 1,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.82 : 1,675.53 = 1,200.96 : x
  2. Step 2: Convert to fraction form
    1,205.82/1,675.53 = 1,200.96/x
  3. Step 3: Cross multiply
    1,205.82x = 1,675.53 × 1,200.96
  4. Step 4: Simplify right side
    1,205.82x = 2,012,244.51
  5. Step 5: Solve for x
    x = 2,012,244.51/1,205.82
  6. Step 6: Final answer
    x = 1,668.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.