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Finding the Fourth Proportional to 1,199.72, 1,800.27 and 506.33

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Solution

The fourth proportional to 1,199.72, 1,800.27 and 506.33 is: 759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.72 : 1,800.27 = 506.33 : x
  2. Step 2: Convert to fraction form
    1,199.72/1,800.27 = 506.33/x
  3. Step 3: Cross multiply
    1,199.72x = 1,800.27 × 506.33
  4. Step 4: Simplify right side
    1,199.72x = 911,521.71
  5. Step 5: Solve for x
    x = 911,521.71/1,199.72
  6. Step 6: Final answer
    x = 759.78

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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.