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Finding the Fourth Proportional to 1,215.93, 1,822.07 and 728.41

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Solution

The fourth proportional to 1,215.93, 1,822.07 and 728.41 is: 1,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.93 : 1,822.07 = 728.41 : x
  2. Step 2: Convert to fraction form
    1,215.93/1,822.07 = 728.41/x
  3. Step 3: Cross multiply
    1,215.93x = 1,822.07 × 728.41
  4. Step 4: Simplify right side
    1,215.93x = 1,327,214.01
  5. Step 5: Solve for x
    x = 1,327,214.01/1,215.93
  6. Step 6: Final answer
    x = 1,091.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.