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Finding the Fourth Proportional to 1,195.53, 1,791.91 and 464.49

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Solution

The fourth proportional to 1,195.53, 1,791.91 and 464.49 is: 696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.53 : 1,791.91 = 464.49 : x
  2. Step 2: Convert to fraction form
    1,195.53/1,791.91 = 464.49/x
  3. Step 3: Cross multiply
    1,195.53x = 1,791.91 × 464.49
  4. Step 4: Simplify right side
    1,195.53x = 832,324.28
  5. Step 5: Solve for x
    x = 832,324.28/1,195.53
  6. Step 6: Final answer
    x = 696.20

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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.