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Finding the Fourth Proportional to 823.20, 1,233 and 700.08

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Solution

The fourth proportional to 823.20, 1,233 and 700.08 is: 1,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.20 : 1,233 = 700.08 : x
  2. Step 2: Convert to fraction form
    823.20/1,233 = 700.08/x
  3. Step 3: Cross multiply
    823.20x = 1,233 × 700.08
  4. Step 4: Simplify right side
    823.20x = 863,198.64
  5. Step 5: Solve for x
    x = 863,198.64/823.20
  6. Step 6: Final answer
    x = 1,048.59

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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.