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Finding the Fourth Proportional to 786.06, 1,178.78 and 323.60

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Solution

The fourth proportional to 786.06, 1,178.78 and 323.60 is: 485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.06 : 1,178.78 = 323.60 : x
  2. Step 2: Convert to fraction form
    786.06/1,178.78 = 323.60/x
  3. Step 3: Cross multiply
    786.06x = 1,178.78 × 323.60
  4. Step 4: Simplify right side
    786.06x = 381,445.70
  5. Step 5: Solve for x
    x = 381,445.70/786.06
  6. Step 6: Final answer
    x = 485.26

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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.