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Finding the Fourth Proportional to 698.41, 968.41 and 675.28

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Solution

The fourth proportional to 698.41, 968.41 and 675.28 is: 936.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.41 : 968.41 = 675.28 : x
  2. Step 2: Convert to fraction form
    698.41/968.41 = 675.28/x
  3. Step 3: Cross multiply
    698.41x = 968.41 × 675.28
  4. Step 4: Simplify right side
    698.41x = 653,939.69
  5. Step 5: Solve for x
    x = 653,939.69/698.41
  6. Step 6: Final answer
    x = 936.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.