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Finding the Fourth Proportional to 745.35, 1,028.53 and 450.78

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Solution

The fourth proportional to 745.35, 1,028.53 and 450.78 is: 622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.35 : 1,028.53 = 450.78 : x
  2. Step 2: Convert to fraction form
    745.35/1,028.53 = 450.78/x
  3. Step 3: Cross multiply
    745.35x = 1,028.53 × 450.78
  4. Step 4: Simplify right side
    745.35x = 463,640.75
  5. Step 5: Solve for x
    x = 463,640.75/745.35
  6. Step 6: Final answer
    x = 622.04

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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.