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Finding the Fourth Proportional to 831.27, 1,247.67 and 420.69

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Solution

The fourth proportional to 831.27, 1,247.67 and 420.69 is: 631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.27 : 1,247.67 = 420.69 : x
  2. Step 2: Convert to fraction form
    831.27/1,247.67 = 420.69/x
  3. Step 3: Cross multiply
    831.27x = 1,247.67 × 420.69
  4. Step 4: Simplify right side
    831.27x = 524,880.19
  5. Step 5: Solve for x
    x = 524,880.19/831.27
  6. Step 6: Final answer
    x = 631.42

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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.