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Finding the Fourth Proportional to 865.44, 1,192.80 and 669.12

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Solution

The fourth proportional to 865.44, 1,192.80 and 669.12 is: 922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.44 : 1,192.80 = 669.12 : x
  2. Step 2: Convert to fraction form
    865.44/1,192.80 = 669.12/x
  3. Step 3: Cross multiply
    865.44x = 1,192.80 × 669.12
  4. Step 4: Simplify right side
    865.44x = 798,126.34
  5. Step 5: Solve for x
    x = 798,126.34/865.44
  6. Step 6: Final answer
    x = 922.22

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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.