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Finding the Fourth Proportional to 1,188.98, 1,640.12 and 768.98

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Solution

The fourth proportional to 1,188.98, 1,640.12 and 768.98 is: 1,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.98 : 1,640.12 = 768.98 : x
  2. Step 2: Convert to fraction form
    1,188.98/1,640.12 = 768.98/x
  3. Step 3: Cross multiply
    1,188.98x = 1,640.12 × 768.98
  4. Step 4: Simplify right side
    1,188.98x = 1,261,219.48
  5. Step 5: Solve for x
    x = 1,261,219.48/1,188.98
  6. Step 6: Final answer
    x = 1,060.76

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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.