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Finding the Fourth Proportional to 829.53, 1,243.86 and 439.74

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Solution

The fourth proportional to 829.53, 1,243.86 and 439.74 is: 659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.53 : 1,243.86 = 439.74 : x
  2. Step 2: Convert to fraction form
    829.53/1,243.86 = 439.74/x
  3. Step 3: Cross multiply
    829.53x = 1,243.86 × 439.74
  4. Step 4: Simplify right side
    829.53x = 546,975.00
  5. Step 5: Solve for x
    x = 546,975.00/829.53
  6. Step 6: Final answer
    x = 659.38

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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.