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Finding the Fourth Proportional to 843.57, 1,265.69 and 323.69

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Solution

The fourth proportional to 843.57, 1,265.69 and 323.69 is: 485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.57 : 1,265.69 = 323.69 : x
  2. Step 2: Convert to fraction form
    843.57/1,265.69 = 323.69/x
  3. Step 3: Cross multiply
    843.57x = 1,265.69 × 323.69
  4. Step 4: Simplify right side
    843.57x = 409,685.68
  5. Step 5: Solve for x
    x = 409,685.68/843.57
  6. Step 6: Final answer
    x = 485.66

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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.