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Finding the Fourth Proportional to 745.04, 1,028.17 and 408.96

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Solution

The fourth proportional to 745.04, 1,028.17 and 408.96 is: 564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.04 : 1,028.17 = 408.96 : x
  2. Step 2: Convert to fraction form
    745.04/1,028.17 = 408.96/x
  3. Step 3: Cross multiply
    745.04x = 1,028.17 × 408.96
  4. Step 4: Simplify right side
    745.04x = 420,479.38
  5. Step 5: Solve for x
    x = 420,479.38/745.04
  6. Step 6: Final answer
    x = 564.37

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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.