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Finding the Fourth Proportional to 680.97, 939.61 and 401.25

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Solution

The fourth proportional to 680.97, 939.61 and 401.25 is: 553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.97 : 939.61 = 401.25 : x
  2. Step 2: Convert to fraction form
    680.97/939.61 = 401.25/x
  3. Step 3: Cross multiply
    680.97x = 939.61 × 401.25
  4. Step 4: Simplify right side
    680.97x = 377,012.81
  5. Step 5: Solve for x
    x = 377,012.81/680.97
  6. Step 6: Final answer
    x = 553.64

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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.