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Finding the Fourth Proportional to 783.73, 1,081.92 and 489.43

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Solution

The fourth proportional to 783.73, 1,081.92 and 489.43 is: 675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.73 : 1,081.92 = 489.43 : x
  2. Step 2: Convert to fraction form
    783.73/1,081.92 = 489.43/x
  3. Step 3: Cross multiply
    783.73x = 1,081.92 × 489.43
  4. Step 4: Simplify right side
    783.73x = 529,524.11
  5. Step 5: Solve for x
    x = 529,524.11/783.73
  6. Step 6: Final answer
    x = 675.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.