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Finding the Fourth Proportional to 1,112.13, 1,668.20 and 290.41

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Solution

The fourth proportional to 1,112.13, 1,668.20 and 290.41 is: 435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.13 : 1,668.20 = 290.41 : x
  2. Step 2: Convert to fraction form
    1,112.13/1,668.20 = 290.41/x
  3. Step 3: Cross multiply
    1,112.13x = 1,668.20 × 290.41
  4. Step 4: Simplify right side
    1,112.13x = 484,456.34
  5. Step 5: Solve for x
    x = 484,456.34/1,112.13
  6. Step 6: Final answer
    x = 435.61

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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.