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Finding the Fourth Proportional to 1,291.14, 1,936.02 and 413.37

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Solution

The fourth proportional to 1,291.14, 1,936.02 and 413.37 is: 619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.14 : 1,936.02 = 413.37 : x
  2. Step 2: Convert to fraction form
    1,291.14/1,936.02 = 413.37/x
  3. Step 3: Cross multiply
    1,291.14x = 1,936.02 × 413.37
  4. Step 4: Simplify right side
    1,291.14x = 800,292.59
  5. Step 5: Solve for x
    x = 800,292.59/1,291.14
  6. Step 6: Final answer
    x = 619.83

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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.