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Finding the Fourth Proportional to 831.20, 1,243.20 and 701.60

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Solution

The fourth proportional to 831.20, 1,243.20 and 701.60 is: 1,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.20 : 1,243.20 = 701.60 : x
  2. Step 2: Convert to fraction form
    831.20/1,243.20 = 701.60/x
  3. Step 3: Cross multiply
    831.20x = 1,243.20 × 701.60
  4. Step 4: Simplify right side
    831.20x = 872,229.12
  5. Step 5: Solve for x
    x = 872,229.12/831.20
  6. Step 6: Final answer
    x = 1,049.36

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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.