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Finding the Fourth Proportional to 849.35, 1,169.09 and 627.92

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Solution

The fourth proportional to 849.35, 1,169.09 and 627.92 is: 864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.35 : 1,169.09 = 627.92 : x
  2. Step 2: Convert to fraction form
    849.35/1,169.09 = 627.92/x
  3. Step 3: Cross multiply
    849.35x = 1,169.09 × 627.92
  4. Step 4: Simplify right side
    849.35x = 734,086.01
  5. Step 5: Solve for x
    x = 734,086.01/849.35
  6. Step 6: Final answer
    x = 864.29

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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.