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Finding the Fourth Proportional to 831.96, 1,245.61 and 538.73

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Solution

The fourth proportional to 831.96, 1,245.61 and 538.73 is: 806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.96 : 1,245.61 = 538.73 : x
  2. Step 2: Convert to fraction form
    831.96/1,245.61 = 538.73/x
  3. Step 3: Cross multiply
    831.96x = 1,245.61 × 538.73
  4. Step 4: Simplify right side
    831.96x = 671,042.09
  5. Step 5: Solve for x
    x = 671,042.09/831.96
  6. Step 6: Final answer
    x = 806.58

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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.