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Finding the Fourth Proportional to 1,220.99, 1,831.46 and 440.85

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Solution

The fourth proportional to 1,220.99, 1,831.46 and 440.85 is: 661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.99 : 1,831.46 = 440.85 : x
  2. Step 2: Convert to fraction form
    1,220.99/1,831.46 = 440.85/x
  3. Step 3: Cross multiply
    1,220.99x = 1,831.46 × 440.85
  4. Step 4: Simplify right side
    1,220.99x = 807,396.94
  5. Step 5: Solve for x
    x = 807,396.94/1,220.99
  6. Step 6: Final answer
    x = 661.26

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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.