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Finding the Fourth Proportional to 1,608.94, 2,413.52 and 621.77

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Solution

The fourth proportional to 1,608.94, 2,413.52 and 621.77 is: 932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.94 : 2,413.52 = 621.77 : x
  2. Step 2: Convert to fraction form
    1,608.94/2,413.52 = 621.77/x
  3. Step 3: Cross multiply
    1,608.94x = 2,413.52 × 621.77
  4. Step 4: Simplify right side
    1,608.94x = 1,500,654.33
  5. Step 5: Solve for x
    x = 1,500,654.33/1,608.94
  6. Step 6: Final answer
    x = 932.70

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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.