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Finding the Fourth Proportional to 809.21, 1,213.50 and 678.60

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Solution

The fourth proportional to 809.21, 1,213.50 and 678.60 is: 1,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.21 : 1,213.50 = 678.60 : x
  2. Step 2: Convert to fraction form
    809.21/1,213.50 = 678.60/x
  3. Step 3: Cross multiply
    809.21x = 1,213.50 × 678.60
  4. Step 4: Simplify right side
    809.21x = 823,481.10
  5. Step 5: Solve for x
    x = 823,481.10/809.21
  6. Step 6: Final answer
    x = 1,017.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.