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Finding the Fourth Proportional to 823.63, 1,234.23 and 803.26

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Solution

The fourth proportional to 823.63, 1,234.23 and 803.26 is: 1,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.63 : 1,234.23 = 803.26 : x
  2. Step 2: Convert to fraction form
    823.63/1,234.23 = 803.26/x
  3. Step 3: Cross multiply
    823.63x = 1,234.23 × 803.26
  4. Step 4: Simplify right side
    823.63x = 991,407.59
  5. Step 5: Solve for x
    x = 991,407.59/823.63
  6. Step 6: Final answer
    x = 1,203.71

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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.