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Finding the Fourth Proportional to 1,021.67, 1,409.47 and 799.73

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Solution

The fourth proportional to 1,021.67, 1,409.47 and 799.73 is: 1,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.67 : 1,409.47 = 799.73 : x
  2. Step 2: Convert to fraction form
    1,021.67/1,409.47 = 799.73/x
  3. Step 3: Cross multiply
    1,021.67x = 1,409.47 × 799.73
  4. Step 4: Simplify right side
    1,021.67x = 1,127,191.44
  5. Step 5: Solve for x
    x = 1,127,191.44/1,021.67
  6. Step 6: Final answer
    x = 1,103.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.