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Finding the Fourth Proportional to 1,112.40, 1,668.74 and 418.91

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Solution

The fourth proportional to 1,112.40, 1,668.74 and 418.91 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.40 : 1,668.74 = 418.91 : x
  2. Step 2: Convert to fraction form
    1,112.40/1,668.74 = 418.91/x
  3. Step 3: Cross multiply
    1,112.40x = 1,668.74 × 418.91
  4. Step 4: Simplify right side
    1,112.40x = 699,041.44
  5. Step 5: Solve for x
    x = 699,041.44/1,112.40
  6. Step 6: Final answer
    x = 628.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.