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Finding the Fourth Proportional to 1,076.26, 1,614.63 and 872.14

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Solution

The fourth proportional to 1,076.26, 1,614.63 and 872.14 is: 1,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.26 : 1,614.63 = 872.14 : x
  2. Step 2: Convert to fraction form
    1,076.26/1,614.63 = 872.14/x
  3. Step 3: Cross multiply
    1,076.26x = 1,614.63 × 872.14
  4. Step 4: Simplify right side
    1,076.26x = 1,408,183.41
  5. Step 5: Solve for x
    x = 1,408,183.41/1,076.26
  6. Step 6: Final answer
    x = 1,308.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.