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Finding the Fourth Proportional to 1,413.35, 2,119.64 and 488.43

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Solution

The fourth proportional to 1,413.35, 2,119.64 and 488.43 is: 732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.35 : 2,119.64 = 488.43 : x
  2. Step 2: Convert to fraction form
    1,413.35/2,119.64 = 488.43/x
  3. Step 3: Cross multiply
    1,413.35x = 2,119.64 × 488.43
  4. Step 4: Simplify right side
    1,413.35x = 1,035,297.44
  5. Step 5: Solve for x
    x = 1,035,297.44/1,413.35
  6. Step 6: Final answer
    x = 732.51

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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.