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Finding the Fourth Proportional to 961.86, 1,442.24 and 413.76

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Solution

The fourth proportional to 961.86, 1,442.24 and 413.76 is: 620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.86 : 1,442.24 = 413.76 : x
  2. Step 2: Convert to fraction form
    961.86/1,442.24 = 413.76/x
  3. Step 3: Cross multiply
    961.86x = 1,442.24 × 413.76
  4. Step 4: Simplify right side
    961.86x = 596,741.22
  5. Step 5: Solve for x
    x = 596,741.22/961.86
  6. Step 6: Final answer
    x = 620.40

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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.