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Finding the Fourth Proportional to 1,229.87, 1,841.83 and 767.06

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Solution

The fourth proportional to 1,229.87, 1,841.83 and 767.06 is: 1,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.87 : 1,841.83 = 767.06 : x
  2. Step 2: Convert to fraction form
    1,229.87/1,841.83 = 767.06/x
  3. Step 3: Cross multiply
    1,229.87x = 1,841.83 × 767.06
  4. Step 4: Simplify right side
    1,229.87x = 1,412,796.81
  5. Step 5: Solve for x
    x = 1,412,796.81/1,229.87
  6. Step 6: Final answer
    x = 1,148.74

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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.