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Finding the Fourth Proportional to 849.90, 1,274.69 and 416.78

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Solution

The fourth proportional to 849.90, 1,274.69 and 416.78 is: 625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.90 : 1,274.69 = 416.78 : x
  2. Step 2: Convert to fraction form
    849.90/1,274.69 = 416.78/x
  3. Step 3: Cross multiply
    849.90x = 1,274.69 × 416.78
  4. Step 4: Simplify right side
    849.90x = 531,265.30
  5. Step 5: Solve for x
    x = 531,265.30/849.90
  6. Step 6: Final answer
    x = 625.09

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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.