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Finding the Fourth Proportional to 1,392.98, 1,921.74 and 868.64

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Solution

The fourth proportional to 1,392.98, 1,921.74 and 868.64 is: 1,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.98 : 1,921.74 = 868.64 : x
  2. Step 2: Convert to fraction form
    1,392.98/1,921.74 = 868.64/x
  3. Step 3: Cross multiply
    1,392.98x = 1,921.74 × 868.64
  4. Step 4: Simplify right side
    1,392.98x = 1,669,300.23
  5. Step 5: Solve for x
    x = 1,669,300.23/1,392.98
  6. Step 6: Final answer
    x = 1,198.37

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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.