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Finding the Fourth Proportional to 1,194.45, 1,791.63 and 464.19

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Solution

The fourth proportional to 1,194.45, 1,791.63 and 464.19 is: 696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.45 : 1,791.63 = 464.19 : x
  2. Step 2: Convert to fraction form
    1,194.45/1,791.63 = 464.19/x
  3. Step 3: Cross multiply
    1,194.45x = 1,791.63 × 464.19
  4. Step 4: Simplify right side
    1,194.45x = 831,656.73
  5. Step 5: Solve for x
    x = 831,656.73/1,194.45
  6. Step 6: Final answer
    x = 696.27

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1.5x scale

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.