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Finding the Fourth Proportional to 1,439.84, 1,984.97 and 996.98

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Solution

The fourth proportional to 1,439.84, 1,984.97 and 996.98 is: 1,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.84 : 1,984.97 = 996.98 : x
  2. Step 2: Convert to fraction form
    1,439.84/1,984.97 = 996.98/x
  3. Step 3: Cross multiply
    1,439.84x = 1,984.97 × 996.98
  4. Step 4: Simplify right side
    1,439.84x = 1,978,967.96
  5. Step 5: Solve for x
    x = 1,978,967.96/1,439.84
  6. Step 6: Final answer
    x = 1,374.43

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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.