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Finding the Fourth Proportional to 1,195.74, 1,781.26 and 1,120.05

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Solution

The fourth proportional to 1,195.74, 1,781.26 and 1,120.05 is: 1,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.74 : 1,781.26 = 1,120.05 : x
  2. Step 2: Convert to fraction form
    1,195.74/1,781.26 = 1,120.05/x
  3. Step 3: Cross multiply
    1,195.74x = 1,781.26 × 1,120.05
  4. Step 4: Simplify right side
    1,195.74x = 1,995,097.46
  5. Step 5: Solve for x
    x = 1,995,097.46/1,195.74
  6. Step 6: Final answer
    x = 1,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.