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Finding the Fourth Proportional to 1,072.28, 1,478.76 and 922.82

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Solution

The fourth proportional to 1,072.28, 1,478.76 and 922.82 is: 1,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.28 : 1,478.76 = 922.82 : x
  2. Step 2: Convert to fraction form
    1,072.28/1,478.76 = 922.82/x
  3. Step 3: Cross multiply
    1,072.28x = 1,478.76 × 922.82
  4. Step 4: Simplify right side
    1,072.28x = 1,364,629.30
  5. Step 5: Solve for x
    x = 1,364,629.30/1,072.28
  6. Step 6: Final answer
    x = 1,272.64

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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.