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Finding the Fourth Proportional to 1,003.11, 1,504.38 and 272.67

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Solution

The fourth proportional to 1,003.11, 1,504.38 and 272.67 is: 408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.11 : 1,504.38 = 272.67 : x
  2. Step 2: Convert to fraction form
    1,003.11/1,504.38 = 272.67/x
  3. Step 3: Cross multiply
    1,003.11x = 1,504.38 × 272.67
  4. Step 4: Simplify right side
    1,003.11x = 410,199.29
  5. Step 5: Solve for x
    x = 410,199.29/1,003.11
  6. Step 6: Final answer
    x = 408.93

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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.