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Finding the Fourth Proportional to 698.92, 961.62 and 605.36

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Solution

The fourth proportional to 698.92, 961.62 and 605.36 is: 832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.92 : 961.62 = 605.36 : x
  2. Step 2: Convert to fraction form
    698.92/961.62 = 605.36/x
  3. Step 3: Cross multiply
    698.92x = 961.62 × 605.36
  4. Step 4: Simplify right side
    698.92x = 582,126.28
  5. Step 5: Solve for x
    x = 582,126.28/698.92
  6. Step 6: Final answer
    x = 832.89

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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.