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Finding the Fourth Proportional to 698.06, 965.13 and 667.46

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Solution

The fourth proportional to 698.06, 965.13 and 667.46 is: 922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.06 : 965.13 = 667.46 : x
  2. Step 2: Convert to fraction form
    698.06/965.13 = 667.46/x
  3. Step 3: Cross multiply
    698.06x = 965.13 × 667.46
  4. Step 4: Simplify right side
    698.06x = 644,185.58
  5. Step 5: Solve for x
    x = 644,185.58/698.06
  6. Step 6: Final answer
    x = 922.82

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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.