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Finding the Fourth Proportional to 843.42, 1,164.17 and 489.43

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Solution

The fourth proportional to 843.42, 1,164.17 and 489.43 is: 675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.42 : 1,164.17 = 489.43 : x
  2. Step 2: Convert to fraction form
    843.42/1,164.17 = 489.43/x
  3. Step 3: Cross multiply
    843.42x = 1,164.17 × 489.43
  4. Step 4: Simplify right side
    843.42x = 569,771.46
  5. Step 5: Solve for x
    x = 569,771.46/843.42
  6. Step 6: Final answer
    x = 675.55

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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.