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Finding the Fourth Proportional to 1,323.38, 1,981.42 and 997.76

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Solution

The fourth proportional to 1,323.38, 1,981.42 and 997.76 is: 1,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.38 : 1,981.42 = 997.76 : x
  2. Step 2: Convert to fraction form
    1,323.38/1,981.42 = 997.76/x
  3. Step 3: Cross multiply
    1,323.38x = 1,981.42 × 997.76
  4. Step 4: Simplify right side
    1,323.38x = 1,976,981.62
  5. Step 5: Solve for x
    x = 1,976,981.62/1,323.38
  6. Step 6: Final answer
    x = 1,493.89

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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.