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Finding the Fourth Proportional to 680.88, 939.83 and 506.46

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Solution

The fourth proportional to 680.88, 939.83 and 506.46 is: 699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.88 : 939.83 = 506.46 : x
  2. Step 2: Convert to fraction form
    680.88/939.83 = 506.46/x
  3. Step 3: Cross multiply
    680.88x = 939.83 × 506.46
  4. Step 4: Simplify right side
    680.88x = 475,983.77
  5. Step 5: Solve for x
    x = 475,983.77/680.88
  6. Step 6: Final answer
    x = 699.07

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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.