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Finding the Fourth Proportional to 699.25, 965.75 and 605.84

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Solution

The fourth proportional to 699.25, 965.75 and 605.84 is: 836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.25 : 965.75 = 605.84 : x
  2. Step 2: Convert to fraction form
    699.25/965.75 = 605.84/x
  3. Step 3: Cross multiply
    699.25x = 965.75 × 605.84
  4. Step 4: Simplify right side
    699.25x = 585,089.98
  5. Step 5: Solve for x
    x = 585,089.98/699.25
  6. Step 6: Final answer
    x = 836.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.