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Finding the Fourth Proportional to 1,226.94, 1,837.23 and 677.98

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Solution

The fourth proportional to 1,226.94, 1,837.23 and 677.98 is: 1,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.94 : 1,837.23 = 677.98 : x
  2. Step 2: Convert to fraction form
    1,226.94/1,837.23 = 677.98/x
  3. Step 3: Cross multiply
    1,226.94x = 1,837.23 × 677.98
  4. Step 4: Simplify right side
    1,226.94x = 1,245,605.20
  5. Step 5: Solve for x
    x = 1,245,605.20/1,226.94
  6. Step 6: Final answer
    x = 1,015.21

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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.