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Finding the Fourth Proportional to 1,235.66, 1,853.38 and 413.91

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Solution

The fourth proportional to 1,235.66, 1,853.38 and 413.91 is: 620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.66 : 1,853.38 = 413.91 : x
  2. Step 2: Convert to fraction form
    1,235.66/1,853.38 = 413.91/x
  3. Step 3: Cross multiply
    1,235.66x = 1,853.38 × 413.91
  4. Step 4: Simplify right side
    1,235.66x = 767,133.03
  5. Step 5: Solve for x
    x = 767,133.03/1,235.66
  6. Step 6: Final answer
    x = 620.83

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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.