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Finding the Fourth Proportional to 748.31, 1,120.50 and 516.51

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Solution

The fourth proportional to 748.31, 1,120.50 and 516.51 is: 773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.31 : 1,120.50 = 516.51 : x
  2. Step 2: Convert to fraction form
    748.31/1,120.50 = 516.51/x
  3. Step 3: Cross multiply
    748.31x = 1,120.50 × 516.51
  4. Step 4: Simplify right side
    748.31x = 578,749.46
  5. Step 5: Solve for x
    x = 578,749.46/748.31
  6. Step 6: Final answer
    x = 773.41

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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.