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Finding the Fourth Proportional to 1,201.80, 1,799.46 and 767.64

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Solution

The fourth proportional to 1,201.80, 1,799.46 and 767.64 is: 1,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.80 : 1,799.46 = 767.64 : x
  2. Step 2: Convert to fraction form
    1,201.80/1,799.46 = 767.64/x
  3. Step 3: Cross multiply
    1,201.80x = 1,799.46 × 767.64
  4. Step 4: Simplify right side
    1,201.80x = 1,381,337.47
  5. Step 5: Solve for x
    x = 1,381,337.47/1,201.80
  6. Step 6: Final answer
    x = 1,149.39

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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.