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Finding the Fourth Proportional to 739.48, 1,022.42 and 615.09

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Solution

The fourth proportional to 739.48, 1,022.42 and 615.09 is: 850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.48 : 1,022.42 = 615.09 : x
  2. Step 2: Convert to fraction form
    739.48/1,022.42 = 615.09/x
  3. Step 3: Cross multiply
    739.48x = 1,022.42 × 615.09
  4. Step 4: Simplify right side
    739.48x = 628,885.69
  5. Step 5: Solve for x
    x = 628,885.69/739.48
  6. Step 6: Final answer
    x = 850.44

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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.