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Finding the Fourth Proportional to 844.02, 1,164.17 and 774.33

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Solution

The fourth proportional to 844.02, 1,164.17 and 774.33 is: 1,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.02 : 1,164.17 = 774.33 : x
  2. Step 2: Convert to fraction form
    844.02/1,164.17 = 774.33/x
  3. Step 3: Cross multiply
    844.02x = 1,164.17 × 774.33
  4. Step 4: Simplify right side
    844.02x = 901,449.33
  5. Step 5: Solve for x
    x = 901,449.33/844.02
  6. Step 6: Final answer
    x = 1,068.04

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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.