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Finding the Fourth Proportional to 831.06, 1,147.10 and 481.82

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Solution

The fourth proportional to 831.06, 1,147.10 and 481.82 is: 665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,147.10 = 481.82 : x
  2. Step 2: Convert to fraction form
    831.06/1,147.10 = 481.82/x
  3. Step 3: Cross multiply
    831.06x = 1,147.10 × 481.82
  4. Step 4: Simplify right side
    831.06x = 552,687.58
  5. Step 5: Solve for x
    x = 552,687.58/831.06
  6. Step 6: Final answer
    x = 665.04

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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.