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Finding the Fourth Proportional to 784.63, 1,176.74 and 413.94

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Solution

The fourth proportional to 784.63, 1,176.74 and 413.94 is: 620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.63 : 1,176.74 = 413.94 : x
  2. Step 2: Convert to fraction form
    784.63/1,176.74 = 413.94/x
  3. Step 3: Cross multiply
    784.63x = 1,176.74 × 413.94
  4. Step 4: Simplify right side
    784.63x = 487,092.99
  5. Step 5: Solve for x
    x = 487,092.99/784.63
  6. Step 6: Final answer
    x = 620.79

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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.