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Finding the Fourth Proportional to 748.38, 1,122.37 and 309.75

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Solution

The fourth proportional to 748.38, 1,122.37 and 309.75 is: 464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.38 : 1,122.37 = 309.75 : x
  2. Step 2: Convert to fraction form
    748.38/1,122.37 = 309.75/x
  3. Step 3: Cross multiply
    748.38x = 1,122.37 × 309.75
  4. Step 4: Simplify right side
    748.38x = 347,653.15
  5. Step 5: Solve for x
    x = 347,653.15/748.38
  6. Step 6: Final answer
    x = 464.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.