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Finding the Fourth Proportional to 761.24, 1,049.96 and 481.52

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Solution

The fourth proportional to 761.24, 1,049.96 and 481.52 is: 664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.24 : 1,049.96 = 481.52 : x
  2. Step 2: Convert to fraction form
    761.24/1,049.96 = 481.52/x
  3. Step 3: Cross multiply
    761.24x = 1,049.96 × 481.52
  4. Step 4: Simplify right side
    761.24x = 505,576.74
  5. Step 5: Solve for x
    x = 505,576.74/761.24
  6. Step 6: Final answer
    x = 664.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.