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Finding the Fourth Proportional to 745.13, 1,028.36 and 450.41

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Solution

The fourth proportional to 745.13, 1,028.36 and 450.41 is: 621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.13 : 1,028.36 = 450.41 : x
  2. Step 2: Convert to fraction form
    745.13/1,028.36 = 450.41/x
  3. Step 3: Cross multiply
    745.13x = 1,028.36 × 450.41
  4. Step 4: Simplify right side
    745.13x = 463,179.61
  5. Step 5: Solve for x
    x = 463,179.61/745.13
  6. Step 6: Final answer
    x = 621.61

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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.