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Finding the Fourth Proportional to 872.72, 1,309.31 and 287.81

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Solution

The fourth proportional to 872.72, 1,309.31 and 287.81 is: 431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.72 : 1,309.31 = 287.81 : x
  2. Step 2: Convert to fraction form
    872.72/1,309.31 = 287.81/x
  3. Step 3: Cross multiply
    872.72x = 1,309.31 × 287.81
  4. Step 4: Simplify right side
    872.72x = 376,831.07
  5. Step 5: Solve for x
    x = 376,831.07/872.72
  6. Step 6: Final answer
    x = 431.79

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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.