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Finding the Fourth Proportional to 829.40, 1,243.64 and 396.56

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Solution

The fourth proportional to 829.40, 1,243.64 and 396.56 is: 594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.40 : 1,243.64 = 396.56 : x
  2. Step 2: Convert to fraction form
    829.40/1,243.64 = 396.56/x
  3. Step 3: Cross multiply
    829.40x = 1,243.64 × 396.56
  4. Step 4: Simplify right side
    829.40x = 493,177.88
  5. Step 5: Solve for x
    x = 493,177.88/829.40
  6. Step 6: Final answer
    x = 594.62

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Why These Related Problems?

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