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Finding the Fourth Proportional to 1,321.37, 1,982.33 and 499.62

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Solution

The fourth proportional to 1,321.37, 1,982.33 and 499.62 is: 749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.37 : 1,982.33 = 499.62 : x
  2. Step 2: Convert to fraction form
    1,321.37/1,982.33 = 499.62/x
  3. Step 3: Cross multiply
    1,321.37x = 1,982.33 × 499.62
  4. Step 4: Simplify right side
    1,321.37x = 990,409.22
  5. Step 5: Solve for x
    x = 990,409.22/1,321.37
  6. Step 6: Final answer
    x = 749.53

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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.