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Finding the Fourth Proportional to 748.27, 1,122.30 and 309.22

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Solution

The fourth proportional to 748.27, 1,122.30 and 309.22 is: 463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.27 : 1,122.30 = 309.22 : x
  2. Step 2: Convert to fraction form
    748.27/1,122.30 = 309.22/x
  3. Step 3: Cross multiply
    748.27x = 1,122.30 × 309.22
  4. Step 4: Simplify right side
    748.27x = 347,037.61
  5. Step 5: Solve for x
    x = 347,037.61/748.27
  6. Step 6: Final answer
    x = 463.79

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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.