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Finding the Fourth Proportional to 1,221.89, 1,831.75 and 490.97

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Solution

The fourth proportional to 1,221.89, 1,831.75 and 490.97 is: 736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.89 : 1,831.75 = 490.97 : x
  2. Step 2: Convert to fraction form
    1,221.89/1,831.75 = 490.97/x
  3. Step 3: Cross multiply
    1,221.89x = 1,831.75 × 490.97
  4. Step 4: Simplify right side
    1,221.89x = 899,334.30
  5. Step 5: Solve for x
    x = 899,334.30/1,221.89
  6. Step 6: Final answer
    x = 736.02

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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.