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Finding the Fourth Proportional to 831.80, 1,247.70 and 344.72

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Solution

The fourth proportional to 831.80, 1,247.70 and 344.72 is: 517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.80 : 1,247.70 = 344.72 : x
  2. Step 2: Convert to fraction form
    831.80/1,247.70 = 344.72/x
  3. Step 3: Cross multiply
    831.80x = 1,247.70 × 344.72
  4. Step 4: Simplify right side
    831.80x = 430,107.14
  5. Step 5: Solve for x
    x = 430,107.14/831.80
  6. Step 6: Final answer
    x = 517.08

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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.