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Finding the Fourth Proportional to 984.43, 1,474.96 and 490.18

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Solution

The fourth proportional to 984.43, 1,474.96 and 490.18 is: 734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.43 : 1,474.96 = 490.18 : x
  2. Step 2: Convert to fraction form
    984.43/1,474.96 = 490.18/x
  3. Step 3: Cross multiply
    984.43x = 1,474.96 × 490.18
  4. Step 4: Simplify right side
    984.43x = 722,995.89
  5. Step 5: Solve for x
    x = 722,995.89/984.43
  6. Step 6: Final answer
    x = 734.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.