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Finding the Fourth Proportional to 785.44, 1,178.11 and 323.11

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Solution

The fourth proportional to 785.44, 1,178.11 and 323.11 is: 484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.44 : 1,178.11 = 323.11 : x
  2. Step 2: Convert to fraction form
    785.44/1,178.11 = 323.11/x
  3. Step 3: Cross multiply
    785.44x = 1,178.11 × 323.11
  4. Step 4: Simplify right side
    785.44x = 380,659.12
  5. Step 5: Solve for x
    x = 380,659.12/785.44
  6. Step 6: Final answer
    x = 484.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.