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Finding the Fourth Proportional to 1,195.80, 1,794.98 and 849.80

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Solution

The fourth proportional to 1,195.80, 1,794.98 and 849.80 is: 1,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.80 : 1,794.98 = 849.80 : x
  2. Step 2: Convert to fraction form
    1,195.80/1,794.98 = 849.80/x
  3. Step 3: Cross multiply
    1,195.80x = 1,794.98 × 849.80
  4. Step 4: Simplify right side
    1,195.80x = 1,525,374.00
  5. Step 5: Solve for x
    x = 1,525,374.00/1,195.80
  6. Step 6: Final answer
    x = 1,275.61

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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.