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Finding the Fourth Proportional to 680.71, 939.31 and 541.17

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Solution

The fourth proportional to 680.71, 939.31 and 541.17 is: 746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.71 : 939.31 = 541.17 : x
  2. Step 2: Convert to fraction form
    680.71/939.31 = 541.17/x
  3. Step 3: Cross multiply
    680.71x = 939.31 × 541.17
  4. Step 4: Simplify right side
    680.71x = 508,326.39
  5. Step 5: Solve for x
    x = 508,326.39/680.71
  6. Step 6: Final answer
    x = 746.76

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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.