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Finding the Fourth Proportional to 1,321.82, 1,824.12 and 732.36

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Solution

The fourth proportional to 1,321.82, 1,824.12 and 732.36 is: 1,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.82 : 1,824.12 = 732.36 : x
  2. Step 2: Convert to fraction form
    1,321.82/1,824.12 = 732.36/x
  3. Step 3: Cross multiply
    1,321.82x = 1,824.12 × 732.36
  4. Step 4: Simplify right side
    1,321.82x = 1,335,912.52
  5. Step 5: Solve for x
    x = 1,335,912.52/1,321.82
  6. Step 6: Final answer
    x = 1,010.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.