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Finding the Fourth Proportional to 849.23, 1,172.16 and 495.44

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Solution

The fourth proportional to 849.23, 1,172.16 and 495.44 is: 683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.23 : 1,172.16 = 495.44 : x
  2. Step 2: Convert to fraction form
    849.23/1,172.16 = 495.44/x
  3. Step 3: Cross multiply
    849.23x = 1,172.16 × 495.44
  4. Step 4: Simplify right side
    849.23x = 580,734.95
  5. Step 5: Solve for x
    x = 580,734.95/849.23
  6. Step 6: Final answer
    x = 683.84

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Why These Related Problems?

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