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Finding the Fourth Proportional to 829.68, 1,244.53 and 664.38

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Solution

The fourth proportional to 829.68, 1,244.53 and 664.38 is: 996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.68 : 1,244.53 = 664.38 : x
  2. Step 2: Convert to fraction form
    829.68/1,244.53 = 664.38/x
  3. Step 3: Cross multiply
    829.68x = 1,244.53 × 664.38
  4. Step 4: Simplify right side
    829.68x = 826,839.18
  5. Step 5: Solve for x
    x = 826,839.18/829.68
  6. Step 6: Final answer
    x = 996.58

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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.