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Finding the Fourth Proportional to 831.15, 1,248.14 and 798.05

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Solution

The fourth proportional to 831.15, 1,248.14 and 798.05 is: 1,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.15 : 1,248.14 = 798.05 : x
  2. Step 2: Convert to fraction form
    831.15/1,248.14 = 798.05/x
  3. Step 3: Cross multiply
    831.15x = 1,248.14 × 798.05
  4. Step 4: Simplify right side
    831.15x = 996,067.90
  5. Step 5: Solve for x
    x = 996,067.90/831.15
  6. Step 6: Final answer
    x = 1,198.42

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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.