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Finding the Fourth Proportional to 831.06, 1,146.96 and 481.95

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Solution

The fourth proportional to 831.06, 1,146.96 and 481.95 is: 665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,146.96 = 481.95 : x
  2. Step 2: Convert to fraction form
    831.06/1,146.96 = 481.95/x
  3. Step 3: Cross multiply
    831.06x = 1,146.96 × 481.95
  4. Step 4: Simplify right side
    831.06x = 552,777.37
  5. Step 5: Solve for x
    x = 552,777.37/831.06
  6. Step 6: Final answer
    x = 665.15

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Why These Related Problems?

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