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Finding the Fourth Proportional to 849.02, 1,272.92 and 416.48

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Solution

The fourth proportional to 849.02, 1,272.92 and 416.48 is: 624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.02 : 1,272.92 = 416.48 : x
  2. Step 2: Convert to fraction form
    849.02/1,272.92 = 416.48/x
  3. Step 3: Cross multiply
    849.02x = 1,272.92 × 416.48
  4. Step 4: Simplify right side
    849.02x = 530,149.95
  5. Step 5: Solve for x
    x = 530,149.95/849.02
  6. Step 6: Final answer
    x = 624.42

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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.