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Finding the Fourth Proportional to 844.08, 1,164.80 and 489.78

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Solution

The fourth proportional to 844.08, 1,164.80 and 489.78 is: 675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.08 : 1,164.80 = 489.78 : x
  2. Step 2: Convert to fraction form
    844.08/1,164.80 = 489.78/x
  3. Step 3: Cross multiply
    844.08x = 1,164.80 × 489.78
  4. Step 4: Simplify right side
    844.08x = 570,495.74
  5. Step 5: Solve for x
    x = 570,495.74/844.08
  6. Step 6: Final answer
    x = 675.88

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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.