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Finding the Fourth Proportional to 1,239.97, 1,711.11 and 680.41

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Solution

The fourth proportional to 1,239.97, 1,711.11 and 680.41 is: 938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.97 : 1,711.11 = 680.41 : x
  2. Step 2: Convert to fraction form
    1,239.97/1,711.11 = 680.41/x
  3. Step 3: Cross multiply
    1,239.97x = 1,711.11 × 680.41
  4. Step 4: Simplify right side
    1,239.97x = 1,164,256.36
  5. Step 5: Solve for x
    x = 1,164,256.36/1,239.97
  6. Step 6: Final answer
    x = 938.94

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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.