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Finding the Fourth Proportional to 681.23, 1,020.37 and 533.99

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Solution

The fourth proportional to 681.23, 1,020.37 and 533.99 is: 799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.23 : 1,020.37 = 533.99 : x
  2. Step 2: Convert to fraction form
    681.23/1,020.37 = 533.99/x
  3. Step 3: Cross multiply
    681.23x = 1,020.37 × 533.99
  4. Step 4: Simplify right side
    681.23x = 544,867.38
  5. Step 5: Solve for x
    x = 544,867.38/681.23
  6. Step 6: Final answer
    x = 799.83

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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.