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Finding the Fourth Proportional to 1,235.78, 1,853.60 and 413.96

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Solution

The fourth proportional to 1,235.78, 1,853.60 and 413.96 is: 620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.78 : 1,853.60 = 413.96 : x
  2. Step 2: Convert to fraction form
    1,235.78/1,853.60 = 413.96/x
  3. Step 3: Cross multiply
    1,235.78x = 1,853.60 × 413.96
  4. Step 4: Simplify right side
    1,235.78x = 767,318.82
  5. Step 5: Solve for x
    x = 767,318.82/1,235.78
  6. Step 6: Final answer
    x = 620.92

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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.