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Finding the Fourth Proportional to 799.75, 1,201.65 and 767.35

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Solution

The fourth proportional to 799.75, 1,201.65 and 767.35 is: 1,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.75 : 1,201.65 = 767.35 : x
  2. Step 2: Convert to fraction form
    799.75/1,201.65 = 767.35/x
  3. Step 3: Cross multiply
    799.75x = 1,201.65 × 767.35
  4. Step 4: Simplify right side
    799.75x = 922,076.28
  5. Step 5: Solve for x
    x = 922,076.28/799.75
  6. Step 6: Final answer
    x = 1,152.96

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