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Finding the Fourth Proportional to 1,104.25, 1,523.87 and 1,011.31

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Solution

The fourth proportional to 1,104.25, 1,523.87 and 1,011.31 is: 1,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.25 : 1,523.87 = 1,011.31 : x
  2. Step 2: Convert to fraction form
    1,104.25/1,523.87 = 1,011.31/x
  3. Step 3: Cross multiply
    1,104.25x = 1,523.87 × 1,011.31
  4. Step 4: Simplify right side
    1,104.25x = 1,541,104.97
  5. Step 5: Solve for x
    x = 1,541,104.97/1,104.25
  6. Step 6: Final answer
    x = 1,395.61

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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.