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Finding the Fourth Proportional to 868.54, 1,198.58 and 475.56

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Solution

The fourth proportional to 868.54, 1,198.58 and 475.56 is: 656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.54 : 1,198.58 = 475.56 : x
  2. Step 2: Convert to fraction form
    868.54/1,198.58 = 475.56/x
  3. Step 3: Cross multiply
    868.54x = 1,198.58 × 475.56
  4. Step 4: Simplify right side
    868.54x = 569,994.31
  5. Step 5: Solve for x
    x = 569,994.31/868.54
  6. Step 6: Final answer
    x = 656.27

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