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Finding the Fourth Proportional to 799.84, 1,197.92 and 667.48

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Solution

The fourth proportional to 799.84, 1,197.92 and 667.48 is: 999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.84 : 1,197.92 = 667.48 : x
  2. Step 2: Convert to fraction form
    799.84/1,197.92 = 667.48/x
  3. Step 3: Cross multiply
    799.84x = 1,197.92 × 667.48
  4. Step 4: Simplify right side
    799.84x = 799,587.64
  5. Step 5: Solve for x
    x = 799,587.64/799.84
  6. Step 6: Final answer
    x = 999.68

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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.