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Finding the Fourth Proportional to 823.23, 1,233.26 and 648.98

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Solution

The fourth proportional to 823.23, 1,233.26 and 648.98 is: 972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.23 : 1,233.26 = 648.98 : x
  2. Step 2: Convert to fraction form
    823.23/1,233.26 = 648.98/x
  3. Step 3: Cross multiply
    823.23x = 1,233.26 × 648.98
  4. Step 4: Simplify right side
    823.23x = 800,351.66
  5. Step 5: Solve for x
    x = 800,351.66/823.23
  6. Step 6: Final answer
    x = 972.21

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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.