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Finding the Fourth Proportional to 785.45, 1,178.16 and 323.27

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Solution

The fourth proportional to 785.45, 1,178.16 and 323.27 is: 484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.45 : 1,178.16 = 323.27 : x
  2. Step 2: Convert to fraction form
    785.45/1,178.16 = 323.27/x
  3. Step 3: Cross multiply
    785.45x = 1,178.16 × 323.27
  4. Step 4: Simplify right side
    785.45x = 380,857.89
  5. Step 5: Solve for x
    x = 380,857.89/785.45
  6. Step 6: Final answer
    x = 484.89

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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.