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Finding the Fourth Proportional to 939.63, 1,296.81 and 800.38

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Solution

The fourth proportional to 939.63, 1,296.81 and 800.38 is: 1,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.63 : 1,296.81 = 800.38 : x
  2. Step 2: Convert to fraction form
    939.63/1,296.81 = 800.38/x
  3. Step 3: Cross multiply
    939.63x = 1,296.81 × 800.38
  4. Step 4: Simplify right side
    939.63x = 1,037,942.41
  5. Step 5: Solve for x
    x = 1,037,942.41/939.63
  6. Step 6: Final answer
    x = 1,104.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.