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Finding the Fourth Proportional to 1,235.75, 1,853.56 and 413.80

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Solution

The fourth proportional to 1,235.75, 1,853.56 and 413.80 is: 620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.75 : 1,853.56 = 413.80 : x
  2. Step 2: Convert to fraction form
    1,235.75/1,853.56 = 413.80/x
  3. Step 3: Cross multiply
    1,235.75x = 1,853.56 × 413.80
  4. Step 4: Simplify right side
    1,235.75x = 767,003.13
  5. Step 5: Solve for x
    x = 767,003.13/1,235.75
  6. Step 6: Final answer
    x = 620.68

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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.