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Finding the Fourth Proportional to 849.14, 1,274.07 and 459.41

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Solution

The fourth proportional to 849.14, 1,274.07 and 459.41 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.14 : 1,274.07 = 459.41 : x
  2. Step 2: Convert to fraction form
    849.14/1,274.07 = 459.41/x
  3. Step 3: Cross multiply
    849.14x = 1,274.07 × 459.41
  4. Step 4: Simplify right side
    849.14x = 585,324.98
  5. Step 5: Solve for x
    x = 585,324.98/849.14
  6. Step 6: Final answer
    x = 689.32

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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.