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Finding the Fourth Proportional to 822.77, 1,231.36 and 641.00

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Solution

The fourth proportional to 822.77, 1,231.36 and 641.00 is: 959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.77 : 1,231.36 = 641.00 : x
  2. Step 2: Convert to fraction form
    822.77/1,231.36 = 641.00/x
  3. Step 3: Cross multiply
    822.77x = 1,231.36 × 641.00
  4. Step 4: Simplify right side
    822.77x = 789,294.00
  5. Step 5: Solve for x
    x = 789,294.00/822.77
  6. Step 6: Final answer
    x = 959.31

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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.