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Finding the Fourth Proportional to 1,194.16, 1,791.32 and 680.08

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Solution

The fourth proportional to 1,194.16, 1,791.32 and 680.08 is: 1,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.16 : 1,791.32 = 680.08 : x
  2. Step 2: Convert to fraction form
    1,194.16/1,791.32 = 680.08/x
  3. Step 3: Cross multiply
    1,194.16x = 1,791.32 × 680.08
  4. Step 4: Simplify right side
    1,194.16x = 1,218,240.91
  5. Step 5: Solve for x
    x = 1,218,240.91/1,194.16
  6. Step 6: Final answer
    x = 1,020.17

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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.