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Finding the Fourth Proportional to 799.75, 1,194.74 and 637.62

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Solution

The fourth proportional to 799.75, 1,194.74 and 637.62 is: 952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.75 : 1,194.74 = 637.62 : x
  2. Step 2: Convert to fraction form
    799.75/1,194.74 = 637.62/x
  3. Step 3: Cross multiply
    799.75x = 1,194.74 × 637.62
  4. Step 4: Simplify right side
    799.75x = 761,790.12
  5. Step 5: Solve for x
    x = 761,790.12/799.75
  6. Step 6: Final answer
    x = 952.54

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