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Finding the Fourth Proportional to 745.27, 1,028.49 and 409.19

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Solution

The fourth proportional to 745.27, 1,028.49 and 409.19 is: 564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.27 : 1,028.49 = 409.19 : x
  2. Step 2: Convert to fraction form
    745.27/1,028.49 = 409.19/x
  3. Step 3: Cross multiply
    745.27x = 1,028.49 × 409.19
  4. Step 4: Simplify right side
    745.27x = 420,847.82
  5. Step 5: Solve for x
    x = 420,847.82/745.27
  6. Step 6: Final answer
    x = 564.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.