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Finding the Fourth Proportional to 831.27, 1,246.04 and 419.54

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Solution

The fourth proportional to 831.27, 1,246.04 and 419.54 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.27 : 1,246.04 = 419.54 : x
  2. Step 2: Convert to fraction form
    831.27/1,246.04 = 419.54/x
  3. Step 3: Cross multiply
    831.27x = 1,246.04 × 419.54
  4. Step 4: Simplify right side
    831.27x = 522,764.64
  5. Step 5: Solve for x
    x = 522,764.64/831.27
  6. Step 6: Final answer
    x = 628.87

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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.