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Finding the Fourth Proportional to 1,009.33, 1,391.27 and 796.30

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Solution

The fourth proportional to 1,009.33, 1,391.27 and 796.30 is: 1,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.33 : 1,391.27 = 796.30 : x
  2. Step 2: Convert to fraction form
    1,009.33/1,391.27 = 796.30/x
  3. Step 3: Cross multiply
    1,009.33x = 1,391.27 × 796.30
  4. Step 4: Simplify right side
    1,009.33x = 1,107,868.30
  5. Step 5: Solve for x
    x = 1,107,868.30/1,009.33
  6. Step 6: Final answer
    x = 1,097.63

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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.