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Finding the Fourth Proportional to 829.96, 1,244.94 and 396.82

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Solution

The fourth proportional to 829.96, 1,244.94 and 396.82 is: 595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.96 : 1,244.94 = 396.82 : x
  2. Step 2: Convert to fraction form
    829.96/1,244.94 = 396.82/x
  3. Step 3: Cross multiply
    829.96x = 1,244.94 × 396.82
  4. Step 4: Simplify right side
    829.96x = 494,017.09
  5. Step 5: Solve for x
    x = 494,017.09/829.96
  6. Step 6: Final answer
    x = 595.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.