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Finding the Fourth Proportional to 939.04, 1,409.44 and 664.16

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Solution

The fourth proportional to 939.04, 1,409.44 and 664.16 is: 996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.04 : 1,409.44 = 664.16 : x
  2. Step 2: Convert to fraction form
    939.04/1,409.44 = 664.16/x
  3. Step 3: Cross multiply
    939.04x = 1,409.44 × 664.16
  4. Step 4: Simplify right side
    939.04x = 936,093.67
  5. Step 5: Solve for x
    x = 936,093.67/939.04
  6. Step 6: Final answer
    x = 996.86

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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.