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Finding the Fourth Proportional to 849.52, 1,274.14 and 301.69

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Solution

The fourth proportional to 849.52, 1,274.14 and 301.69 is: 452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.52 : 1,274.14 = 301.69 : x
  2. Step 2: Convert to fraction form
    849.52/1,274.14 = 301.69/x
  3. Step 3: Cross multiply
    849.52x = 1,274.14 × 301.69
  4. Step 4: Simplify right side
    849.52x = 384,395.30
  5. Step 5: Solve for x
    x = 384,395.30/849.52
  6. Step 6: Final answer
    x = 452.49

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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.