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Finding the Fourth Proportional to 961.40, 1,441.58 and 413.24

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Solution

The fourth proportional to 961.40, 1,441.58 and 413.24 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.40 : 1,441.58 = 413.24 : x
  2. Step 2: Convert to fraction form
    961.40/1,441.58 = 413.24/x
  3. Step 3: Cross multiply
    961.40x = 1,441.58 × 413.24
  4. Step 4: Simplify right side
    961.40x = 595,718.52
  5. Step 5: Solve for x
    x = 595,718.52/961.40
  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.