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Finding the Fourth Proportional to 799.44, 1,197.68 and 434.54

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Solution

The fourth proportional to 799.44, 1,197.68 and 434.54 is: 651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.44 : 1,197.68 = 434.54 : x
  2. Step 2: Convert to fraction form
    799.44/1,197.68 = 434.54/x
  3. Step 3: Cross multiply
    799.44x = 1,197.68 × 434.54
  4. Step 4: Simplify right side
    799.44x = 520,438.37
  5. Step 5: Solve for x
    x = 520,438.37/799.44
  6. Step 6: Final answer
    x = 651.00

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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.