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Finding the Fourth Proportional to 831.67, 1,247.74 and 420.73

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Solution

The fourth proportional to 831.67, 1,247.74 and 420.73 is: 631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.67 : 1,247.74 = 420.73 : x
  2. Step 2: Convert to fraction form
    831.67/1,247.74 = 420.73/x
  3. Step 3: Cross multiply
    831.67x = 1,247.74 × 420.73
  4. Step 4: Simplify right side
    831.67x = 524,957.48
  5. Step 5: Solve for x
    x = 524,957.48/831.67
  6. Step 6: Final answer
    x = 631.21

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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.