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Finding the Fourth Proportional to 1,608.81, 2,413.26 and 683.08

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Solution

The fourth proportional to 1,608.81, 2,413.26 and 683.08 is: 1,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.81 : 2,413.26 = 683.08 : x
  2. Step 2: Convert to fraction form
    1,608.81/2,413.26 = 683.08/x
  3. Step 3: Cross multiply
    1,608.81x = 2,413.26 × 683.08
  4. Step 4: Simplify right side
    1,608.81x = 1,648,443.61
  5. Step 5: Solve for x
    x = 1,648,443.61/1,608.81
  6. Step 6: Final answer
    x = 1,024.64

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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.