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Finding the Fourth Proportional to 843.84, 1,164.65 and 494.73

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Solution

The fourth proportional to 843.84, 1,164.65 and 494.73 is: 682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.84 : 1,164.65 = 494.73 : x
  2. Step 2: Convert to fraction form
    843.84/1,164.65 = 494.73/x
  3. Step 3: Cross multiply
    843.84x = 1,164.65 × 494.73
  4. Step 4: Simplify right side
    843.84x = 576,184.82
  5. Step 5: Solve for x
    x = 576,184.82/843.84
  6. Step 6: Final answer
    x = 682.81

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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.