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Finding the Fourth Proportional to 794.46, 1,194.12 and 777.46

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Solution

The fourth proportional to 794.46, 1,194.12 and 777.46 is: 1,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.46 : 1,194.12 = 777.46 : x
  2. Step 2: Convert to fraction form
    794.46/1,194.12 = 777.46/x
  3. Step 3: Cross multiply
    794.46x = 1,194.12 × 777.46
  4. Step 4: Simplify right side
    794.46x = 928,380.54
  5. Step 5: Solve for x
    x = 928,380.54/794.46
  6. Step 6: Final answer
    x = 1,168.57

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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.