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Finding the Fourth Proportional to 1,195.77, 1,793.61 and 783.69

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Solution

The fourth proportional to 1,195.77, 1,793.61 and 783.69 is: 1,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.77 : 1,793.61 = 783.69 : x
  2. Step 2: Convert to fraction form
    1,195.77/1,793.61 = 783.69/x
  3. Step 3: Cross multiply
    1,195.77x = 1,793.61 × 783.69
  4. Step 4: Simplify right side
    1,195.77x = 1,405,634.22
  5. Step 5: Solve for x
    x = 1,405,634.22/1,195.77
  6. Step 6: Final answer
    x = 1,175.51

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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.