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Finding the Fourth Proportional to 827.73, 1,241.61 and 672.93

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Solution

The fourth proportional to 827.73, 1,241.61 and 672.93 is: 1,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.73 : 1,241.61 = 672.93 : x
  2. Step 2: Convert to fraction form
    827.73/1,241.61 = 672.93/x
  3. Step 3: Cross multiply
    827.73x = 1,241.61 × 672.93
  4. Step 4: Simplify right side
    827.73x = 835,516.62
  5. Step 5: Solve for x
    x = 835,516.62/827.73
  6. Step 6: Final answer
    x = 1,009.41

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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.