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Finding the Fourth Proportional to 1,200.02, 1,799.82 and 506.66

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Solution

The fourth proportional to 1,200.02, 1,799.82 and 506.66 is: 759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.02 : 1,799.82 = 506.66 : x
  2. Step 2: Convert to fraction form
    1,200.02/1,799.82 = 506.66/x
  3. Step 3: Cross multiply
    1,200.02x = 1,799.82 × 506.66
  4. Step 4: Simplify right side
    1,200.02x = 911,887.80
  5. Step 5: Solve for x
    x = 911,887.80/1,200.02
  6. Step 6: Final answer
    x = 759.90

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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.