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Finding the Fourth Proportional to 1,413.39, 2,119.26 and 488.55

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Solution

The fourth proportional to 1,413.39, 2,119.26 and 488.55 is: 732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.39 : 2,119.26 = 488.55 : x
  2. Step 2: Convert to fraction form
    1,413.39/2,119.26 = 488.55/x
  3. Step 3: Cross multiply
    1,413.39x = 2,119.26 × 488.55
  4. Step 4: Simplify right side
    1,413.39x = 1,035,364.47
  5. Step 5: Solve for x
    x = 1,035,364.47/1,413.39
  6. Step 6: Final answer
    x = 732.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.