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Finding the Fourth Proportional to 849.78, 1,273.56 and 411.24

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Solution

The fourth proportional to 849.78, 1,273.56 and 411.24 is: 616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.78 : 1,273.56 = 411.24 : x
  2. Step 2: Convert to fraction form
    849.78/1,273.56 = 411.24/x
  3. Step 3: Cross multiply
    849.78x = 1,273.56 × 411.24
  4. Step 4: Simplify right side
    849.78x = 523,738.81
  5. Step 5: Solve for x
    x = 523,738.81/849.78
  6. Step 6: Final answer
    x = 616.32

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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.