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Finding the Fourth Proportional to 849.43, 1,171.83 and 517.78

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Solution

The fourth proportional to 849.43, 1,171.83 and 517.78 is: 714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.43 : 1,171.83 = 517.78 : x
  2. Step 2: Convert to fraction form
    849.43/1,171.83 = 517.78/x
  3. Step 3: Cross multiply
    849.43x = 1,171.83 × 517.78
  4. Step 4: Simplify right side
    849.43x = 606,750.14
  5. Step 5: Solve for x
    x = 606,750.14/849.43
  6. Step 6: Final answer
    x = 714.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.