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Finding the Fourth Proportional to 994.62, 1,493.91 and 600.09

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Solution

The fourth proportional to 994.62, 1,493.91 and 600.09 is: 901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.62 : 1,493.91 = 600.09 : x
  2. Step 2: Convert to fraction form
    994.62/1,493.91 = 600.09/x
  3. Step 3: Cross multiply
    994.62x = 1,493.91 × 600.09
  4. Step 4: Simplify right side
    994.62x = 896,480.45
  5. Step 5: Solve for x
    x = 896,480.45/994.62
  6. Step 6: Final answer
    x = 901.33

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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.