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Finding the Fourth Proportional to 1,163.41, 1,745.42 and 676.05

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Solution

The fourth proportional to 1,163.41, 1,745.42 and 676.05 is: 1,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.41 : 1,745.42 = 676.05 : x
  2. Step 2: Convert to fraction form
    1,163.41/1,745.42 = 676.05/x
  3. Step 3: Cross multiply
    1,163.41x = 1,745.42 × 676.05
  4. Step 4: Simplify right side
    1,163.41x = 1,179,991.19
  5. Step 5: Solve for x
    x = 1,179,991.19/1,163.41
  6. Step 6: Final answer
    x = 1,014.25

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Why These Related Problems?

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