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Finding the Fourth Proportional to 868.14, 1,198.01 and 475.16

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Solution

The fourth proportional to 868.14, 1,198.01 and 475.16 is: 655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.14 : 1,198.01 = 475.16 : x
  2. Step 2: Convert to fraction form
    868.14/1,198.01 = 475.16/x
  3. Step 3: Cross multiply
    868.14x = 1,198.01 × 475.16
  4. Step 4: Simplify right side
    868.14x = 569,238.07
  5. Step 5: Solve for x
    x = 569,238.07/868.14
  6. Step 6: Final answer
    x = 655.70

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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.