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Finding the Fourth Proportional to 994.20, 1,372.41 and 601.13

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Solution

The fourth proportional to 994.20, 1,372.41 and 601.13 is: 829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.20 : 1,372.41 = 601.13 : x
  2. Step 2: Convert to fraction form
    994.20/1,372.41 = 601.13/x
  3. Step 3: Cross multiply
    994.20x = 1,372.41 × 601.13
  4. Step 4: Simplify right side
    994.20x = 824,996.82
  5. Step 5: Solve for x
    x = 824,996.82/994.20
  6. Step 6: Final answer
    x = 829.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.