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Finding the Fourth Proportional to 831.23, 1,246.47 and 253.97

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Solution

The fourth proportional to 831.23, 1,246.47 and 253.97 is: 380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.23 : 1,246.47 = 253.97 : x
  2. Step 2: Convert to fraction form
    831.23/1,246.47 = 253.97/x
  3. Step 3: Cross multiply
    831.23x = 1,246.47 × 253.97
  4. Step 4: Simplify right side
    831.23x = 316,559.75
  5. Step 5: Solve for x
    x = 316,559.75/831.23
  6. Step 6: Final answer
    x = 380.84

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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.