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Finding the Fourth Proportional to 843.60, 1,164.09 and 489.45

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Solution

The fourth proportional to 843.60, 1,164.09 and 489.45 is: 675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.60 : 1,164.09 = 489.45 : x
  2. Step 2: Convert to fraction form
    843.60/1,164.09 = 489.45/x
  3. Step 3: Cross multiply
    843.60x = 1,164.09 × 489.45
  4. Step 4: Simplify right side
    843.60x = 569,763.85
  5. Step 5: Solve for x
    x = 569,763.85/843.60
  6. Step 6: Final answer
    x = 675.40

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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.