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Finding the Fourth Proportional to 1,772.67, 2,659.43 and 798.77

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Solution

The fourth proportional to 1,772.67, 2,659.43 and 798.77 is: 1,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.67 : 2,659.43 = 798.77 : x
  2. Step 2: Convert to fraction form
    1,772.67/2,659.43 = 798.77/x
  3. Step 3: Cross multiply
    1,772.67x = 2,659.43 × 798.77
  4. Step 4: Simplify right side
    1,772.67x = 2,124,263.40
  5. Step 5: Solve for x
    x = 2,124,263.40/1,772.67
  6. Step 6: Final answer
    x = 1,198.34

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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.