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Finding the Fourth Proportional to 1,698.96, 2,544.12 and 831

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Solution

The fourth proportional to 1,698.96, 2,544.12 and 831 is: 1,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.96 : 2,544.12 = 831 : x
  2. Step 2: Convert to fraction form
    1,698.96/2,544.12 = 831/x
  3. Step 3: Cross multiply
    1,698.96x = 2,544.12 × 831
  4. Step 4: Simplify right side
    1,698.96x = 2,114,163.72
  5. Step 5: Solve for x
    x = 2,114,163.72/1,698.96
  6. Step 6: Final answer
    x = 1,244.39

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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.