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Finding the Fourth Proportional to 849.22, 1,273.77 and 410.80

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Solution

The fourth proportional to 849.22, 1,273.77 and 410.80 is: 616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.22 : 1,273.77 = 410.80 : x
  2. Step 2: Convert to fraction form
    849.22/1,273.77 = 410.80/x
  3. Step 3: Cross multiply
    849.22x = 1,273.77 × 410.80
  4. Step 4: Simplify right side
    849.22x = 523,264.72
  5. Step 5: Solve for x
    x = 523,264.72/849.22
  6. Step 6: Final answer
    x = 616.17

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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.