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Finding the Fourth Proportional to 745.05, 1,028.22 and 450.33

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Solution

The fourth proportional to 745.05, 1,028.22 and 450.33 is: 621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.05 : 1,028.22 = 450.33 : x
  2. Step 2: Convert to fraction form
    745.05/1,028.22 = 450.33/x
  3. Step 3: Cross multiply
    745.05x = 1,028.22 × 450.33
  4. Step 4: Simplify right side
    745.05x = 463,038.31
  5. Step 5: Solve for x
    x = 463,038.31/745.05
  6. Step 6: Final answer
    x = 621.49

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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.