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Finding the Fourth Proportional to 1,326.73, 1,990.38 and 504.85

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Solution

The fourth proportional to 1,326.73, 1,990.38 and 504.85 is: 757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.73 : 1,990.38 = 504.85 : x
  2. Step 2: Convert to fraction form
    1,326.73/1,990.38 = 504.85/x
  3. Step 3: Cross multiply
    1,326.73x = 1,990.38 × 504.85
  4. Step 4: Simplify right side
    1,326.73x = 1,004,843.34
  5. Step 5: Solve for x
    x = 1,004,843.34/1,326.73
  6. Step 6: Final answer
    x = 757.38

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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.