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Finding the Fourth Proportional to 823.10, 1,231.05 and 628.70

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Solution

The fourth proportional to 823.10, 1,231.05 and 628.70 is: 940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.10 : 1,231.05 = 628.70 : x
  2. Step 2: Convert to fraction form
    823.10/1,231.05 = 628.70/x
  3. Step 3: Cross multiply
    823.10x = 1,231.05 × 628.70
  4. Step 4: Simplify right side
    823.10x = 773,961.14
  5. Step 5: Solve for x
    x = 773,961.14/823.10
  6. Step 6: Final answer
    x = 940.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.