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Finding the Fourth Proportional to 1,204.21, 1,802.79 and 1,079.11

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Solution

The fourth proportional to 1,204.21, 1,802.79 and 1,079.11 is: 1,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.21 : 1,802.79 = 1,079.11 : x
  2. Step 2: Convert to fraction form
    1,204.21/1,802.79 = 1,079.11/x
  3. Step 3: Cross multiply
    1,204.21x = 1,802.79 × 1,079.11
  4. Step 4: Simplify right side
    1,204.21x = 1,945,408.72
  5. Step 5: Solve for x
    x = 1,945,408.72/1,204.21
  6. Step 6: Final answer
    x = 1,615.51

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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.