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Finding the Fourth Proportional to 739.38, 1,021.22 and 490.27

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Solution

The fourth proportional to 739.38, 1,021.22 and 490.27 is: 677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.38 : 1,021.22 = 490.27 : x
  2. Step 2: Convert to fraction form
    739.38/1,021.22 = 490.27/x
  3. Step 3: Cross multiply
    739.38x = 1,021.22 × 490.27
  4. Step 4: Simplify right side
    739.38x = 500,668.53
  5. Step 5: Solve for x
    x = 500,668.53/739.38
  6. Step 6: Final answer
    x = 677.15

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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.