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Finding the Fourth Proportional to 823.36, 1,235.64 and 662.98

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Solution

The fourth proportional to 823.36, 1,235.64 and 662.98 is: 994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.36 : 1,235.64 = 662.98 : x
  2. Step 2: Convert to fraction form
    823.36/1,235.64 = 662.98/x
  3. Step 3: Cross multiply
    823.36x = 1,235.64 × 662.98
  4. Step 4: Simplify right side
    823.36x = 819,204.00
  5. Step 5: Solve for x
    x = 819,204.00/823.36
  6. Step 6: Final answer
    x = 994.96

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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.