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Finding the Fourth Proportional to 999.11, 1,496.49 and 823.82

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Solution

The fourth proportional to 999.11, 1,496.49 and 823.82 is: 1,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.11 : 1,496.49 = 823.82 : x
  2. Step 2: Convert to fraction form
    999.11/1,496.49 = 823.82/x
  3. Step 3: Cross multiply
    999.11x = 1,496.49 × 823.82
  4. Step 4: Simplify right side
    999.11x = 1,232,830.91
  5. Step 5: Solve for x
    x = 1,232,830.91/999.11
  6. Step 6: Final answer
    x = 1,233.93

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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.