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Finding the Fourth Proportional to 804.67, 1,206.99 and 227.54

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Solution

The fourth proportional to 804.67, 1,206.99 and 227.54 is: 341.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.67 : 1,206.99 = 227.54 : x
  2. Step 2: Convert to fraction form
    804.67/1,206.99 = 227.54/x
  3. Step 3: Cross multiply
    804.67x = 1,206.99 × 227.54
  4. Step 4: Simplify right side
    804.67x = 274,641.52
  5. Step 5: Solve for x
    x = 274,641.52/804.67
  6. Step 6: Final answer
    x = 341.31

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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.