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Finding the Fourth Proportional to 748.17, 1,121.47 and 285.82

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Solution

The fourth proportional to 748.17, 1,121.47 and 285.82 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.17 : 1,121.47 = 285.82 : x
  2. Step 2: Convert to fraction form
    748.17/1,121.47 = 285.82/x
  3. Step 3: Cross multiply
    748.17x = 1,121.47 × 285.82
  4. Step 4: Simplify right side
    748.17x = 320,538.56
  5. Step 5: Solve for x
    x = 320,538.56/748.17
  6. Step 6: Final answer
    x = 428.43

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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.