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Finding the Fourth Proportional to 831.97, 1,247.95 and 393.08

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Solution

The fourth proportional to 831.97, 1,247.95 and 393.08 is: 589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.97 : 1,247.95 = 393.08 : x
  2. Step 2: Convert to fraction form
    831.97/1,247.95 = 393.08/x
  3. Step 3: Cross multiply
    831.97x = 1,247.95 × 393.08
  4. Step 4: Simplify right side
    831.97x = 490,538.44
  5. Step 5: Solve for x
    x = 490,538.44/831.97
  6. Step 6: Final answer
    x = 589.61

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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.