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Finding the Fourth Proportional to 831.85, 1,246.91 and 312.23

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Solution

The fourth proportional to 831.85, 1,246.91 and 312.23 is: 468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.85 : 1,246.91 = 312.23 : x
  2. Step 2: Convert to fraction form
    831.85/1,246.91 = 312.23/x
  3. Step 3: Cross multiply
    831.85x = 1,246.91 × 312.23
  4. Step 4: Simplify right side
    831.85x = 389,324.27
  5. Step 5: Solve for x
    x = 389,324.27/831.85
  6. Step 6: Final answer
    x = 468.02

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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.