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Finding the Fourth Proportional to 843.16, 1,163.18 and 493.70

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Solution

The fourth proportional to 843.16, 1,163.18 and 493.70 is: 681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.16 : 1,163.18 = 493.70 : x
  2. Step 2: Convert to fraction form
    843.16/1,163.18 = 493.70/x
  3. Step 3: Cross multiply
    843.16x = 1,163.18 × 493.70
  4. Step 4: Simplify right side
    843.16x = 574,261.97
  5. Step 5: Solve for x
    x = 574,261.97/843.16
  6. Step 6: Final answer
    x = 681.08

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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.