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Finding the Fourth Proportional to 849.78, 1,273.64 and 361.80

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Solution

The fourth proportional to 849.78, 1,273.64 and 361.80 is: 542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.78 : 1,273.64 = 361.80 : x
  2. Step 2: Convert to fraction form
    849.78/1,273.64 = 361.80/x
  3. Step 3: Cross multiply
    849.78x = 1,273.64 × 361.80
  4. Step 4: Simplify right side
    849.78x = 460,801.14
  5. Step 5: Solve for x
    x = 460,801.14/849.78
  6. Step 6: Final answer
    x = 542.26

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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.