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Finding the Fourth Proportional to 716.09, 1,074.11 and 203.09

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Solution

The fourth proportional to 716.09, 1,074.11 and 203.09 is: 304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.09 : 1,074.11 = 203.09 : x
  2. Step 2: Convert to fraction form
    716.09/1,074.11 = 203.09/x
  3. Step 3: Cross multiply
    716.09x = 1,074.11 × 203.09
  4. Step 4: Simplify right side
    716.09x = 218,134.61
  5. Step 5: Solve for x
    x = 218,134.61/716.09
  6. Step 6: Final answer
    x = 304.62

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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.