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Finding the Fourth Proportional to 1,009.77, 1,394.17 and 773.30

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Solution

The fourth proportional to 1,009.77, 1,394.17 and 773.30 is: 1,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.77 : 1,394.17 = 773.30 : x
  2. Step 2: Convert to fraction form
    1,009.77/1,394.17 = 773.30/x
  3. Step 3: Cross multiply
    1,009.77x = 1,394.17 × 773.30
  4. Step 4: Simplify right side
    1,009.77x = 1,078,105.91
  5. Step 5: Solve for x
    x = 1,078,105.91/1,009.77
  6. Step 6: Final answer
    x = 1,067.68

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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.