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Finding the Fourth Proportional to 745.20, 1,027.69 and 465.35

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Solution

The fourth proportional to 745.20, 1,027.69 and 465.35 is: 641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.20 : 1,027.69 = 465.35 : x
  2. Step 2: Convert to fraction form
    745.20/1,027.69 = 465.35/x
  3. Step 3: Cross multiply
    745.20x = 1,027.69 × 465.35
  4. Step 4: Simplify right side
    745.20x = 478,229.24
  5. Step 5: Solve for x
    x = 478,229.24/745.20
  6. Step 6: Final answer
    x = 641.75

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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.