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Finding the Fourth Proportional to 799.22, 1,199.30 and 312.68

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Solution

The fourth proportional to 799.22, 1,199.30 and 312.68 is: 469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.22 : 1,199.30 = 312.68 : x
  2. Step 2: Convert to fraction form
    799.22/1,199.30 = 312.68/x
  3. Step 3: Cross multiply
    799.22x = 1,199.30 × 312.68
  4. Step 4: Simplify right side
    799.22x = 374,997.12
  5. Step 5: Solve for x
    x = 374,997.12/799.22
  6. Step 6: Final answer
    x = 469.20

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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.