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Finding the Fourth Proportional to 1,193.26, 1,789.89 and 500.26

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Solution

The fourth proportional to 1,193.26, 1,789.89 and 500.26 is: 750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.26 : 1,789.89 = 500.26 : x
  2. Step 2: Convert to fraction form
    1,193.26/1,789.89 = 500.26/x
  3. Step 3: Cross multiply
    1,193.26x = 1,789.89 × 500.26
  4. Step 4: Simplify right side
    1,193.26x = 895,410.37
  5. Step 5: Solve for x
    x = 895,410.37/1,193.26
  6. Step 6: Final answer
    x = 750.39

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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.