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Finding the Fourth Proportional to 1,072.17, 1,608.26 and 495.45

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Solution

The fourth proportional to 1,072.17, 1,608.26 and 495.45 is: 743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.17 : 1,608.26 = 495.45 : x
  2. Step 2: Convert to fraction form
    1,072.17/1,608.26 = 495.45/x
  3. Step 3: Cross multiply
    1,072.17x = 1,608.26 × 495.45
  4. Step 4: Simplify right side
    1,072.17x = 796,809.94
  5. Step 5: Solve for x
    x = 796,809.94/1,072.17
  6. Step 6: Final answer
    x = 743.18

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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.