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Finding the Fourth Proportional to 745.82, 1,120.49 and 704.38

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Solution

The fourth proportional to 745.82, 1,120.49 and 704.38 is: 1,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.82 : 1,120.49 = 704.38 : x
  2. Step 2: Convert to fraction form
    745.82/1,120.49 = 704.38/x
  3. Step 3: Cross multiply
    745.82x = 1,120.49 × 704.38
  4. Step 4: Simplify right side
    745.82x = 789,250.75
  5. Step 5: Solve for x
    x = 789,250.75/745.82
  6. Step 6: Final answer
    x = 1,058.23

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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.