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Finding the Fourth Proportional to 800.84, 1,198.78 and 617.80

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Solution

The fourth proportional to 800.84, 1,198.78 and 617.80 is: 924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.84 : 1,198.78 = 617.80 : x
  2. Step 2: Convert to fraction form
    800.84/1,198.78 = 617.80/x
  3. Step 3: Cross multiply
    800.84x = 1,198.78 × 617.80
  4. Step 4: Simplify right side
    800.84x = 740,606.28
  5. Step 5: Solve for x
    x = 740,606.28/800.84
  6. Step 6: Final answer
    x = 924.79

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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.