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Finding the Fourth Proportional to 1,002.73, 1,504.09 and 272.36

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Solution

The fourth proportional to 1,002.73, 1,504.09 and 272.36 is: 408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.73 : 1,504.09 = 272.36 : x
  2. Step 2: Convert to fraction form
    1,002.73/1,504.09 = 272.36/x
  3. Step 3: Cross multiply
    1,002.73x = 1,504.09 × 272.36
  4. Step 4: Simplify right side
    1,002.73x = 409,653.95
  5. Step 5: Solve for x
    x = 409,653.95/1,002.73
  6. Step 6: Final answer
    x = 408.54

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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.