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Finding the Fourth Proportional to 745.36, 1,028.58 and 409.26

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Solution

The fourth proportional to 745.36, 1,028.58 and 409.26 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.36 : 1,028.58 = 409.26 : x
  2. Step 2: Convert to fraction form
    745.36/1,028.58 = 409.26/x
  3. Step 3: Cross multiply
    745.36x = 1,028.58 × 409.26
  4. Step 4: Simplify right side
    745.36x = 420,961.28
  5. Step 5: Solve for x
    x = 420,961.28/745.36
  6. Step 6: Final answer
    x = 564.77

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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.