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Finding the Fourth Proportional to 849.08, 1,272.44 and 385.73

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Solution

The fourth proportional to 849.08, 1,272.44 and 385.73 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.08 : 1,272.44 = 385.73 : x
  2. Step 2: Convert to fraction form
    849.08/1,272.44 = 385.73/x
  3. Step 3: Cross multiply
    849.08x = 1,272.44 × 385.73
  4. Step 4: Simplify right side
    849.08x = 490,817.65
  5. Step 5: Solve for x
    x = 490,817.65/849.08
  6. Step 6: Final answer
    x = 578.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.