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Finding the Fourth Proportional to 939.80, 1,409.34 and 419.96

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Solution

The fourth proportional to 939.80, 1,409.34 and 419.96 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.80 : 1,409.34 = 419.96 : x
  2. Step 2: Convert to fraction form
    939.80/1,409.34 = 419.96/x
  3. Step 3: Cross multiply
    939.80x = 1,409.34 × 419.96
  4. Step 4: Simplify right side
    939.80x = 591,866.43
  5. Step 5: Solve for x
    x = 591,866.43/939.80
  6. Step 6: Final answer
    x = 629.78

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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.