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Finding the Fourth Proportional to 1,198.76, 1,798.14 and 677.48

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Solution

The fourth proportional to 1,198.76, 1,798.14 and 677.48 is: 1,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.76 : 1,798.14 = 677.48 : x
  2. Step 2: Convert to fraction form
    1,198.76/1,798.14 = 677.48/x
  3. Step 3: Cross multiply
    1,198.76x = 1,798.14 × 677.48
  4. Step 4: Simplify right side
    1,198.76x = 1,218,203.89
  5. Step 5: Solve for x
    x = 1,218,203.89/1,198.76
  6. Step 6: Final answer
    x = 1,016.22

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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.