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Finding the Fourth Proportional to 829.64, 1,243.41 and 438.68

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Solution

The fourth proportional to 829.64, 1,243.41 and 438.68 is: 657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.64 : 1,243.41 = 438.68 : x
  2. Step 2: Convert to fraction form
    829.64/1,243.41 = 438.68/x
  3. Step 3: Cross multiply
    829.64x = 1,243.41 × 438.68
  4. Step 4: Simplify right side
    829.64x = 545,452.88
  5. Step 5: Solve for x
    x = 545,452.88/829.64
  6. Step 6: Final answer
    x = 657.46

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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.