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Finding the Fourth Proportional to 829.28, 1,243.92 and 445.28

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Solution

The fourth proportional to 829.28, 1,243.92 and 445.28 is: 667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.28 : 1,243.92 = 445.28 : x
  2. Step 2: Convert to fraction form
    829.28/1,243.92 = 445.28/x
  3. Step 3: Cross multiply
    829.28x = 1,243.92 × 445.28
  4. Step 4: Simplify right side
    829.28x = 553,892.70
  5. Step 5: Solve for x
    x = 553,892.70/829.28
  6. Step 6: Final answer
    x = 667.92

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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.