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Finding the Fourth Proportional to 799.56, 1,200.04 and 389

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Solution

The fourth proportional to 799.56, 1,200.04 and 389 is: 583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.56 : 1,200.04 = 389 : x
  2. Step 2: Convert to fraction form
    799.56/1,200.04 = 389/x
  3. Step 3: Cross multiply
    799.56x = 1,200.04 × 389
  4. Step 4: Simplify right side
    799.56x = 466,815.56
  5. Step 5: Solve for x
    x = 466,815.56/799.56
  6. Step 6: Final answer
    x = 583.84

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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.