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Finding the Fourth Proportional to 799.49, 1,199.60 and 360.77

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Solution

The fourth proportional to 799.49, 1,199.60 and 360.77 is: 541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.49 : 1,199.60 = 360.77 : x
  2. Step 2: Convert to fraction form
    799.49/1,199.60 = 360.77/x
  3. Step 3: Cross multiply
    799.49x = 1,199.60 × 360.77
  4. Step 4: Simplify right side
    799.49x = 432,777.89
  5. Step 5: Solve for x
    x = 432,777.89/799.49
  6. Step 6: Final answer
    x = 541.32

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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.