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Finding the Fourth Proportional to 1,199.73, 1,799.83 and 506.39

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Solution

The fourth proportional to 1,199.73, 1,799.83 and 506.39 is: 759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.73 : 1,799.83 = 506.39 : x
  2. Step 2: Convert to fraction form
    1,199.73/1,799.83 = 506.39/x
  3. Step 3: Cross multiply
    1,199.73x = 1,799.83 × 506.39
  4. Step 4: Simplify right side
    1,199.73x = 911,421.05
  5. Step 5: Solve for x
    x = 911,421.05/1,199.73
  6. Step 6: Final answer
    x = 759.69

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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.