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Finding the Fourth Proportional to 831.37, 1,247.06 and 398.42

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Solution

The fourth proportional to 831.37, 1,247.06 and 398.42 is: 597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.37 : 1,247.06 = 398.42 : x
  2. Step 2: Convert to fraction form
    831.37/1,247.06 = 398.42/x
  3. Step 3: Cross multiply
    831.37x = 1,247.06 × 398.42
  4. Step 4: Simplify right side
    831.37x = 496,856.76
  5. Step 5: Solve for x
    x = 496,856.76/831.37
  6. Step 6: Final answer
    x = 597.64

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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.