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Finding the Fourth Proportional to 1,221.27, 1,831.29 and 399.43

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Solution

The fourth proportional to 1,221.27, 1,831.29 and 399.43 is: 598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.27 : 1,831.29 = 399.43 : x
  2. Step 2: Convert to fraction form
    1,221.27/1,831.29 = 399.43/x
  3. Step 3: Cross multiply
    1,221.27x = 1,831.29 × 399.43
  4. Step 4: Simplify right side
    1,221.27x = 731,472.16
  5. Step 5: Solve for x
    x = 731,472.16/1,221.27
  6. Step 6: Final answer
    x = 598.94

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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.