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Finding the Fourth Proportional to 1,194.65, 1,791.62 and 414.52

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Solution

The fourth proportional to 1,194.65, 1,791.62 and 414.52 is: 621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.65 : 1,791.62 = 414.52 : x
  2. Step 2: Convert to fraction form
    1,194.65/1,791.62 = 414.52/x
  3. Step 3: Cross multiply
    1,194.65x = 1,791.62 × 414.52
  4. Step 4: Simplify right side
    1,194.65x = 742,657.33
  5. Step 5: Solve for x
    x = 742,657.33/1,194.65
  6. Step 6: Final answer
    x = 621.65

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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.