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Finding the Fourth Proportional to 831.66, 1,247.46 and 215.37

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Solution

The fourth proportional to 831.66, 1,247.46 and 215.37 is: 323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.66 : 1,247.46 = 215.37 : x
  2. Step 2: Convert to fraction form
    831.66/1,247.46 = 215.37/x
  3. Step 3: Cross multiply
    831.66x = 1,247.46 × 215.37
  4. Step 4: Simplify right side
    831.66x = 268,665.46
  5. Step 5: Solve for x
    x = 268,665.46/831.66
  6. Step 6: Final answer
    x = 323.05

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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.