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Finding the Fourth Proportional to 831.89, 1,247.84 and 254.75

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Solution

The fourth proportional to 831.89, 1,247.84 and 254.75 is: 382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.89 : 1,247.84 = 254.75 : x
  2. Step 2: Convert to fraction form
    831.89/1,247.84 = 254.75/x
  3. Step 3: Cross multiply
    831.89x = 1,247.84 × 254.75
  4. Step 4: Simplify right side
    831.89x = 317,887.24
  5. Step 5: Solve for x
    x = 317,887.24/831.89
  6. Step 6: Final answer
    x = 382.13

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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.