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Finding the Fourth Proportional to 849.25, 1,173.42 and 701.62

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Solution

The fourth proportional to 849.25, 1,173.42 and 701.62 is: 969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.25 : 1,173.42 = 701.62 : x
  2. Step 2: Convert to fraction form
    849.25/1,173.42 = 701.62/x
  3. Step 3: Cross multiply
    849.25x = 1,173.42 × 701.62
  4. Step 4: Simplify right side
    849.25x = 823,294.94
  5. Step 5: Solve for x
    x = 823,294.94/849.25
  6. Step 6: Final answer
    x = 969.44

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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.