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Finding the Fourth Proportional to 872.33, 1,309.41 and 641.48

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Solution

The fourth proportional to 872.33, 1,309.41 and 641.48 is: 962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.33 : 1,309.41 = 641.48 : x
  2. Step 2: Convert to fraction form
    872.33/1,309.41 = 641.48/x
  3. Step 3: Cross multiply
    872.33x = 1,309.41 × 641.48
  4. Step 4: Simplify right side
    872.33x = 839,957.12
  5. Step 5: Solve for x
    x = 839,957.12/872.33
  6. Step 6: Final answer
    x = 962.89

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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.