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Finding the Fourth Proportional to 831.06, 1,147.10 and 481.68

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Solution

The fourth proportional to 831.06, 1,147.10 and 481.68 is: 664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,147.10 = 481.68 : x
  2. Step 2: Convert to fraction form
    831.06/1,147.10 = 481.68/x
  3. Step 3: Cross multiply
    831.06x = 1,147.10 × 481.68
  4. Step 4: Simplify right side
    831.06x = 552,532.72
  5. Step 5: Solve for x
    x = 552,532.72/831.06
  6. Step 6: Final answer
    x = 664.85

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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.