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Finding the Fourth Proportional to 1,323.09, 1,823.22 and 1,027.85

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Solution

The fourth proportional to 1,323.09, 1,823.22 and 1,027.85 is: 1,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.09 : 1,823.22 = 1,027.85 : x
  2. Step 2: Convert to fraction form
    1,323.09/1,823.22 = 1,027.85/x
  3. Step 3: Cross multiply
    1,323.09x = 1,823.22 × 1,027.85
  4. Step 4: Simplify right side
    1,323.09x = 1,873,987.56
  5. Step 5: Solve for x
    x = 1,873,987.56/1,323.09
  6. Step 6: Final answer
    x = 1,416.37

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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.