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Finding the Fourth Proportional to 831.67, 1,247.49 and 283.84

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Solution

The fourth proportional to 831.67, 1,247.49 and 283.84 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.67 : 1,247.49 = 283.84 : x
  2. Step 2: Convert to fraction form
    831.67/1,247.49 = 283.84/x
  3. Step 3: Cross multiply
    831.67x = 1,247.49 × 283.84
  4. Step 4: Simplify right side
    831.67x = 354,087.56
  5. Step 5: Solve for x
    x = 354,087.56/831.67
  6. Step 6: Final answer
    x = 425.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.