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Finding the Fourth Proportional to 994.23, 1,372.10 and 601.29

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Solution

The fourth proportional to 994.23, 1,372.10 and 601.29 is: 829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.23 : 1,372.10 = 601.29 : x
  2. Step 2: Convert to fraction form
    994.23/1,372.10 = 601.29/x
  3. Step 3: Cross multiply
    994.23x = 1,372.10 × 601.29
  4. Step 4: Simplify right side
    994.23x = 825,027.00
  5. Step 5: Solve for x
    x = 825,027.00/994.23
  6. Step 6: Final answer
    x = 829.82

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