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Finding the Fourth Proportional to 831.44, 1,247.10 and 344.47

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Solution

The fourth proportional to 831.44, 1,247.10 and 344.47 is: 516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.44 : 1,247.10 = 344.47 : x
  2. Step 2: Convert to fraction form
    831.44/1,247.10 = 344.47/x
  3. Step 3: Cross multiply
    831.44x = 1,247.10 × 344.47
  4. Step 4: Simplify right side
    831.44x = 429,586.81
  5. Step 5: Solve for x
    x = 429,586.81/831.44
  6. Step 6: Final answer
    x = 516.68

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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.