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Finding the Fourth Proportional to 994.20, 1,489.96 and 775.09

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Solution

The fourth proportional to 994.20, 1,489.96 and 775.09 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.20 : 1,489.96 = 775.09 : x
  2. Step 2: Convert to fraction form
    994.20/1,489.96 = 775.09/x
  3. Step 3: Cross multiply
    994.20x = 1,489.96 × 775.09
  4. Step 4: Simplify right side
    994.20x = 1,154,853.10
  5. Step 5: Solve for x
    x = 1,154,853.10/994.20
  6. Step 6: Final answer
    x = 1,161.59

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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.