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Finding the Fourth Proportional to 968.20, 1,452.18 and 413.13

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Solution

The fourth proportional to 968.20, 1,452.18 and 413.13 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.20 : 1,452.18 = 413.13 : x
  2. Step 2: Convert to fraction form
    968.20/1,452.18 = 413.13/x
  3. Step 3: Cross multiply
    968.20x = 1,452.18 × 413.13
  4. Step 4: Simplify right side
    968.20x = 599,939.12
  5. Step 5: Solve for x
    x = 599,939.12/968.20
  6. Step 6: Final answer
    x = 619.64

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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.