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Finding the Fourth Proportional to 811.21, 1,207.74 and 799.68

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Solution

The fourth proportional to 811.21, 1,207.74 and 799.68 is: 1,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.21 : 1,207.74 = 799.68 : x
  2. Step 2: Convert to fraction form
    811.21/1,207.74 = 799.68/x
  3. Step 3: Cross multiply
    811.21x = 1,207.74 × 799.68
  4. Step 4: Simplify right side
    811.21x = 965,805.52
  5. Step 5: Solve for x
    x = 965,805.52/811.21
  6. Step 6: Final answer
    x = 1,190.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.