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Finding the Fourth Proportional to 831.97, 1,248.26 and 420.85

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Solution

The fourth proportional to 831.97, 1,248.26 and 420.85 is: 631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.97 : 1,248.26 = 420.85 : x
  2. Step 2: Convert to fraction form
    831.97/1,248.26 = 420.85/x
  3. Step 3: Cross multiply
    831.97x = 1,248.26 × 420.85
  4. Step 4: Simplify right side
    831.97x = 525,325.02
  5. Step 5: Solve for x
    x = 525,325.02/831.97
  6. Step 6: Final answer
    x = 631.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.