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Finding the Fourth Proportional to 831.27, 1,247.27 and 446.07

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Solution

The fourth proportional to 831.27, 1,247.27 and 446.07 is: 669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.27 : 1,247.27 = 446.07 : x
  2. Step 2: Convert to fraction form
    831.27/1,247.27 = 446.07/x
  3. Step 3: Cross multiply
    831.27x = 1,247.27 × 446.07
  4. Step 4: Simplify right side
    831.27x = 556,367.50
  5. Step 5: Solve for x
    x = 556,367.50/831.27
  6. Step 6: Final answer
    x = 669.30

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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.