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Finding the Fourth Proportional to 940.92, 1,409.62 and 839.24

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Solution

The fourth proportional to 940.92, 1,409.62 and 839.24 is: 1,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.92 : 1,409.62 = 839.24 : x
  2. Step 2: Convert to fraction form
    940.92/1,409.62 = 839.24/x
  3. Step 3: Cross multiply
    940.92x = 1,409.62 × 839.24
  4. Step 4: Simplify right side
    940.92x = 1,183,009.49
  5. Step 5: Solve for x
    x = 1,183,009.49/940.92
  6. Step 6: Final answer
    x = 1,257.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.