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Finding the Fourth Proportional to 789.20, 1,184.04 and 356.36

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Solution

The fourth proportional to 789.20, 1,184.04 and 356.36 is: 534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.20 : 1,184.04 = 356.36 : x
  2. Step 2: Convert to fraction form
    789.20/1,184.04 = 356.36/x
  3. Step 3: Cross multiply
    789.20x = 1,184.04 × 356.36
  4. Step 4: Simplify right side
    789.20x = 421,944.49
  5. Step 5: Solve for x
    x = 421,944.49/789.20
  6. Step 6: Final answer
    x = 534.65

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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.