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Finding the Fourth Proportional to 1,321.31, 1,981.67 and 499.37

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Solution

The fourth proportional to 1,321.31, 1,981.67 and 499.37 is: 748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.31 : 1,981.67 = 499.37 : x
  2. Step 2: Convert to fraction form
    1,321.31/1,981.67 = 499.37/x
  3. Step 3: Cross multiply
    1,321.31x = 1,981.67 × 499.37
  4. Step 4: Simplify right side
    1,321.31x = 989,574.14
  5. Step 5: Solve for x
    x = 989,574.14/1,321.31
  6. Step 6: Final answer
    x = 748.93

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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.