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Finding the Fourth Proportional to 892.42, 1,231.97 and 594.16

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Solution

The fourth proportional to 892.42, 1,231.97 and 594.16 is: 820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.42 : 1,231.97 = 594.16 : x
  2. Step 2: Convert to fraction form
    892.42/1,231.97 = 594.16/x
  3. Step 3: Cross multiply
    892.42x = 1,231.97 × 594.16
  4. Step 4: Simplify right side
    892.42x = 731,984.32
  5. Step 5: Solve for x
    x = 731,984.32/892.42
  6. Step 6: Final answer
    x = 820.22

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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.