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Finding the Fourth Proportional to 857.43, 1,286.76 and 641.58

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Solution

The fourth proportional to 857.43, 1,286.76 and 641.58 is: 962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.43 : 1,286.76 = 641.58 : x
  2. Step 2: Convert to fraction form
    857.43/1,286.76 = 641.58/x
  3. Step 3: Cross multiply
    857.43x = 1,286.76 × 641.58
  4. Step 4: Simplify right side
    857.43x = 825,559.48
  5. Step 5: Solve for x
    x = 825,559.48/857.43
  6. Step 6: Final answer
    x = 962.83

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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.