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Finding the Fourth Proportional to 1,218.69, 1,680.64 and 799.41

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Solution

The fourth proportional to 1,218.69, 1,680.64 and 799.41 is: 1,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.69 : 1,680.64 = 799.41 : x
  2. Step 2: Convert to fraction form
    1,218.69/1,680.64 = 799.41/x
  3. Step 3: Cross multiply
    1,218.69x = 1,680.64 × 799.41
  4. Step 4: Simplify right side
    1,218.69x = 1,343,520.42
  5. Step 5: Solve for x
    x = 1,343,520.42/1,218.69
  6. Step 6: Final answer
    x = 1,102.43

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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.