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Finding the Fourth Proportional to 727.98, 1,092.37 and 673.71

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Solution

The fourth proportional to 727.98, 1,092.37 and 673.71 is: 1,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.98 : 1,092.37 = 673.71 : x
  2. Step 2: Convert to fraction form
    727.98/1,092.37 = 673.71/x
  3. Step 3: Cross multiply
    727.98x = 1,092.37 × 673.71
  4. Step 4: Simplify right side
    727.98x = 735,940.59
  5. Step 5: Solve for x
    x = 735,940.59/727.98
  6. Step 6: Final answer
    x = 1,010.94

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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.