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Finding the Fourth Proportional to 600.09, 827.78 and 540.63

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Solution

The fourth proportional to 600.09, 827.78 and 540.63 is: 745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.09 : 827.78 = 540.63 : x
  2. Step 2: Convert to fraction form
    600.09/827.78 = 540.63/x
  3. Step 3: Cross multiply
    600.09x = 827.78 × 540.63
  4. Step 4: Simplify right side
    600.09x = 447,520.00
  5. Step 5: Solve for x
    x = 447,520.00/600.09
  6. Step 6: Final answer
    x = 745.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.