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Finding the Fourth Proportional to 1,221.59, 1,831.83 and 388.41

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Solution

The fourth proportional to 1,221.59, 1,831.83 and 388.41 is: 582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.59 : 1,831.83 = 388.41 : x
  2. Step 2: Convert to fraction form
    1,221.59/1,831.83 = 388.41/x
  3. Step 3: Cross multiply
    1,221.59x = 1,831.83 × 388.41
  4. Step 4: Simplify right side
    1,221.59x = 711,499.15
  5. Step 5: Solve for x
    x = 711,499.15/1,221.59
  6. Step 6: Final answer
    x = 582.44

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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.