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Finding the Fourth Proportional to 1,200.33, 1,799.74 and 506.64

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Solution

The fourth proportional to 1,200.33, 1,799.74 and 506.64 is: 759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.33 : 1,799.74 = 506.64 : x
  2. Step 2: Convert to fraction form
    1,200.33/1,799.74 = 506.64/x
  3. Step 3: Cross multiply
    1,200.33x = 1,799.74 × 506.64
  4. Step 4: Simplify right side
    1,200.33x = 911,820.27
  5. Step 5: Solve for x
    x = 911,820.27/1,200.33
  6. Step 6: Final answer
    x = 759.64

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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.