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Finding the Fourth Proportional to 831.47, 1,245.92 and 733.73

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Solution

The fourth proportional to 831.47, 1,245.92 and 733.73 is: 1,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.47 : 1,245.92 = 733.73 : x
  2. Step 2: Convert to fraction form
    831.47/1,245.92 = 733.73/x
  3. Step 3: Cross multiply
    831.47x = 1,245.92 × 733.73
  4. Step 4: Simplify right side
    831.47x = 914,158.98
  5. Step 5: Solve for x
    x = 914,158.98/831.47
  6. Step 6: Final answer
    x = 1,099.46

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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.