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Finding the Fourth Proportional to 1,413.48, 2,120.22 and 387.48

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Solution

The fourth proportional to 1,413.48, 2,120.22 and 387.48 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.48 : 2,120.22 = 387.48 : x
  2. Step 2: Convert to fraction form
    1,413.48/2,120.22 = 387.48/x
  3. Step 3: Cross multiply
    1,413.48x = 2,120.22 × 387.48
  4. Step 4: Simplify right side
    1,413.48x = 821,542.85
  5. Step 5: Solve for x
    x = 821,542.85/1,413.48
  6. Step 6: Final answer
    x = 581.22

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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.