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Finding the Fourth Proportional to 829.08, 1,243.98 and 396.36

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Solution

The fourth proportional to 829.08, 1,243.98 and 396.36 is: 594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.08 : 1,243.98 = 396.36 : x
  2. Step 2: Convert to fraction form
    829.08/1,243.98 = 396.36/x
  3. Step 3: Cross multiply
    829.08x = 1,243.98 × 396.36
  4. Step 4: Simplify right side
    829.08x = 493,063.91
  5. Step 5: Solve for x
    x = 493,063.91/829.08
  6. Step 6: Final answer
    x = 594.71

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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.