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Finding the Fourth Proportional to 921.04, 1,268.04 and 825.68

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Solution

The fourth proportional to 921.04, 1,268.04 and 825.68 is: 1,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.04 : 1,268.04 = 825.68 : x
  2. Step 2: Convert to fraction form
    921.04/1,268.04 = 825.68/x
  3. Step 3: Cross multiply
    921.04x = 1,268.04 × 825.68
  4. Step 4: Simplify right side
    921.04x = 1,046,995.27
  5. Step 5: Solve for x
    x = 1,046,995.27/921.04
  6. Step 6: Final answer
    x = 1,136.75

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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.