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Finding the Fourth Proportional to 994.25, 1,372.25 and 574.87

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Solution

The fourth proportional to 994.25, 1,372.25 and 574.87 is: 793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.25 : 1,372.25 = 574.87 : x
  2. Step 2: Convert to fraction form
    994.25/1,372.25 = 574.87/x
  3. Step 3: Cross multiply
    994.25x = 1,372.25 × 574.87
  4. Step 4: Simplify right side
    994.25x = 788,863.36
  5. Step 5: Solve for x
    x = 788,863.36/994.25
  6. Step 6: Final answer
    x = 793.43

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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.