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Finding the Fourth Proportional to 1,059.22, 1,589.76 and 866.44

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Solution

The fourth proportional to 1,059.22, 1,589.76 and 866.44 is: 1,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.22 : 1,589.76 = 866.44 : x
  2. Step 2: Convert to fraction form
    1,059.22/1,589.76 = 866.44/x
  3. Step 3: Cross multiply
    1,059.22x = 1,589.76 × 866.44
  4. Step 4: Simplify right side
    1,059.22x = 1,377,431.65
  5. Step 5: Solve for x
    x = 1,377,431.65/1,059.22
  6. Step 6: Final answer
    x = 1,300.42

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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.