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Finding the Fourth Proportional to 1,112.05, 1,668.21 and 418.51

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Solution

The fourth proportional to 1,112.05, 1,668.21 and 418.51 is: 627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.05 : 1,668.21 = 418.51 : x
  2. Step 2: Convert to fraction form
    1,112.05/1,668.21 = 418.51/x
  3. Step 3: Cross multiply
    1,112.05x = 1,668.21 × 418.51
  4. Step 4: Simplify right side
    1,112.05x = 698,162.57
  5. Step 5: Solve for x
    x = 698,162.57/1,112.05
  6. Step 6: Final answer
    x = 627.82

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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.