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Finding the Fourth Proportional to 1,286.49, 1,774.73 and 762.27

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Solution

The fourth proportional to 1,286.49, 1,774.73 and 762.27 is: 1,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.49 : 1,774.73 = 762.27 : x
  2. Step 2: Convert to fraction form
    1,286.49/1,774.73 = 762.27/x
  3. Step 3: Cross multiply
    1,286.49x = 1,774.73 × 762.27
  4. Step 4: Simplify right side
    1,286.49x = 1,352,819.63
  5. Step 5: Solve for x
    x = 1,352,819.63/1,286.49
  6. Step 6: Final answer
    x = 1,051.56

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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.