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Finding the Fourth Proportional to 994.14, 1,489.99 and 344.12

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Solution

The fourth proportional to 994.14, 1,489.99 and 344.12 is: 515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.14 : 1,489.99 = 344.12 : x
  2. Step 2: Convert to fraction form
    994.14/1,489.99 = 344.12/x
  3. Step 3: Cross multiply
    994.14x = 1,489.99 × 344.12
  4. Step 4: Simplify right side
    994.14x = 512,735.36
  5. Step 5: Solve for x
    x = 512,735.36/994.14
  6. Step 6: Final answer
    x = 515.76

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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.