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Finding the Fourth Proportional to 785.22, 1,178.07 and 323.28

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Solution

The fourth proportional to 785.22, 1,178.07 and 323.28 is: 485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.22 : 1,178.07 = 323.28 : x
  2. Step 2: Convert to fraction form
    785.22/1,178.07 = 323.28/x
  3. Step 3: Cross multiply
    785.22x = 1,178.07 × 323.28
  4. Step 4: Simplify right side
    785.22x = 380,846.47
  5. Step 5: Solve for x
    x = 380,846.47/785.22
  6. Step 6: Final answer
    x = 485.02

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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.