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Finding the Fourth Proportional to 994.56, 1,372.24 and 601.60

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Solution

The fourth proportional to 994.56, 1,372.24 and 601.60 is: 830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.56 : 1,372.24 = 601.60 : x
  2. Step 2: Convert to fraction form
    994.56/1,372.24 = 601.60/x
  3. Step 3: Cross multiply
    994.56x = 1,372.24 × 601.60
  4. Step 4: Simplify right side
    994.56x = 825,539.58
  5. Step 5: Solve for x
    x = 825,539.58/994.56
  6. Step 6: Final answer
    x = 830.06

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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.