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Finding the Fourth Proportional to 1,221.27, 1,831.79 and 343.69

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Solution

The fourth proportional to 1,221.27, 1,831.79 and 343.69 is: 515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.27 : 1,831.79 = 343.69 : x
  2. Step 2: Convert to fraction form
    1,221.27/1,831.79 = 343.69/x
  3. Step 3: Cross multiply
    1,221.27x = 1,831.79 × 343.69
  4. Step 4: Simplify right side
    1,221.27x = 629,567.91
  5. Step 5: Solve for x
    x = 629,567.91/1,221.27
  6. Step 6: Final answer
    x = 515.50

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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.