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Finding the Fourth Proportional to 1,199.43, 1,799.58 and 506.27

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Solution

The fourth proportional to 1,199.43, 1,799.58 and 506.27 is: 759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.43 : 1,799.58 = 506.27 : x
  2. Step 2: Convert to fraction form
    1,199.43/1,799.58 = 506.27/x
  3. Step 3: Cross multiply
    1,199.43x = 1,799.58 × 506.27
  4. Step 4: Simplify right side
    1,199.43x = 911,073.37
  5. Step 5: Solve for x
    x = 911,073.37/1,199.43
  6. Step 6: Final answer
    x = 759.59

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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.