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Finding the Fourth Proportional to 868.44, 1,198.45 and 475.45

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Solution

The fourth proportional to 868.44, 1,198.45 and 475.45 is: 656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.44 : 1,198.45 = 475.45 : x
  2. Step 2: Convert to fraction form
    868.44/1,198.45 = 475.45/x
  3. Step 3: Cross multiply
    868.44x = 1,198.45 × 475.45
  4. Step 4: Simplify right side
    868.44x = 569,804.72
  5. Step 5: Solve for x
    x = 569,804.72/868.44
  6. Step 6: Final answer
    x = 656.13

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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.