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Finding the Fourth Proportional to 748.38, 1,120.72 and 516.62

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Solution

The fourth proportional to 748.38, 1,120.72 and 516.62 is: 773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.38 : 1,120.72 = 516.62 : x
  2. Step 2: Convert to fraction form
    748.38/1,120.72 = 516.62/x
  3. Step 3: Cross multiply
    748.38x = 1,120.72 × 516.62
  4. Step 4: Simplify right side
    748.38x = 578,986.37
  5. Step 5: Solve for x
    x = 578,986.37/748.38
  6. Step 6: Final answer
    x = 773.65

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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.