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Finding the Fourth Proportional to 989.92, 1,482.24 and 664.24

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Solution

The fourth proportional to 989.92, 1,482.24 and 664.24 is: 994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.92 : 1,482.24 = 664.24 : x
  2. Step 2: Convert to fraction form
    989.92/1,482.24 = 664.24/x
  3. Step 3: Cross multiply
    989.92x = 1,482.24 × 664.24
  4. Step 4: Simplify right side
    989.92x = 984,563.10
  5. Step 5: Solve for x
    x = 984,563.10/989.92
  6. Step 6: Final answer
    x = 994.59

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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.