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Finding the Fourth Proportional to 960.88, 1,441.32 and 413.04

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Solution

The fourth proportional to 960.88, 1,441.32 and 413.04 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.88 : 1,441.32 = 413.04 : x
  2. Step 2: Convert to fraction form
    960.88/1,441.32 = 413.04/x
  3. Step 3: Cross multiply
    960.88x = 1,441.32 × 413.04
  4. Step 4: Simplify right side
    960.88x = 595,322.81
  5. Step 5: Solve for x
    x = 595,322.81/960.88
  6. Step 6: Final answer
    x = 619.56

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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.