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Finding the Fourth Proportional to 850.27, 1,173.30 and 477.30

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Solution

The fourth proportional to 850.27, 1,173.30 and 477.30 is: 658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.27 : 1,173.30 = 477.30 : x
  2. Step 2: Convert to fraction form
    850.27/1,173.30 = 477.30/x
  3. Step 3: Cross multiply
    850.27x = 1,173.30 × 477.30
  4. Step 4: Simplify right side
    850.27x = 560,020.33
  5. Step 5: Solve for x
    x = 560,020.33/850.27
  6. Step 6: Final answer
    x = 658.64

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