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Finding the Fourth Proportional to 1,194.16, 1,791.70 and 464.25

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Solution

The fourth proportional to 1,194.16, 1,791.70 and 464.25 is: 696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.16 : 1,791.70 = 464.25 : x
  2. Step 2: Convert to fraction form
    1,194.16/1,791.70 = 464.25/x
  3. Step 3: Cross multiply
    1,194.16x = 1,791.70 × 464.25
  4. Step 4: Simplify right side
    1,194.16x = 831,796.73
  5. Step 5: Solve for x
    x = 831,796.73/1,194.16
  6. Step 6: Final answer
    x = 696.55

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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.