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Finding the Fourth Proportional to 1,195.71, 1,790.83 and 1,175.66

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Solution

The fourth proportional to 1,195.71, 1,790.83 and 1,175.66 is: 1,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.71 : 1,790.83 = 1,175.66 : x
  2. Step 2: Convert to fraction form
    1,195.71/1,790.83 = 1,175.66/x
  3. Step 3: Cross multiply
    1,195.71x = 1,790.83 × 1,175.66
  4. Step 4: Simplify right side
    1,195.71x = 2,105,401.32
  5. Step 5: Solve for x
    x = 2,105,401.32/1,195.71
  6. Step 6: Final answer
    x = 1,760.80

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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.