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Finding the Fourth Proportional to 794.46, 1,190.14 and 464.56

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Solution

The fourth proportional to 794.46, 1,190.14 and 464.56 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.46 : 1,190.14 = 464.56 : x
  2. Step 2: Convert to fraction form
    794.46/1,190.14 = 464.56/x
  3. Step 3: Cross multiply
    794.46x = 1,190.14 × 464.56
  4. Step 4: Simplify right side
    794.46x = 552,891.44
  5. Step 5: Solve for x
    x = 552,891.44/794.46
  6. Step 6: Final answer
    x = 695.93

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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.