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Finding the Fourth Proportional to 849.82, 1,274.75 and 264.82

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Solution

The fourth proportional to 849.82, 1,274.75 and 264.82 is: 397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.82 : 1,274.75 = 264.82 : x
  2. Step 2: Convert to fraction form
    849.82/1,274.75 = 264.82/x
  3. Step 3: Cross multiply
    849.82x = 1,274.75 × 264.82
  4. Step 4: Simplify right side
    849.82x = 337,579.30
  5. Step 5: Solve for x
    x = 337,579.30/849.82
  6. Step 6: Final answer
    x = 397.24

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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.