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Finding the Fourth Proportional to 1,109.64, 1,664.46 and 866.37

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Solution

The fourth proportional to 1,109.64, 1,664.46 and 866.37 is: 1,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.64 : 1,664.46 = 866.37 : x
  2. Step 2: Convert to fraction form
    1,109.64/1,664.46 = 866.37/x
  3. Step 3: Cross multiply
    1,109.64x = 1,664.46 × 866.37
  4. Step 4: Simplify right side
    1,109.64x = 1,442,033.88
  5. Step 5: Solve for x
    x = 1,442,033.88/1,109.64
  6. Step 6: Final answer
    x = 1,299.55

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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.