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Finding the Fourth Proportional to 772.94, 1,066.43 and 596.09

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Solution

The fourth proportional to 772.94, 1,066.43 and 596.09 is: 822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.94 : 1,066.43 = 596.09 : x
  2. Step 2: Convert to fraction form
    772.94/1,066.43 = 596.09/x
  3. Step 3: Cross multiply
    772.94x = 1,066.43 × 596.09
  4. Step 4: Simplify right side
    772.94x = 635,692.42
  5. Step 5: Solve for x
    x = 635,692.42/772.94
  6. Step 6: Final answer
    x = 822.43

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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.