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Finding the Fourth Proportional to 1,290.97, 1,780.23 and 1,105.08

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Solution

The fourth proportional to 1,290.97, 1,780.23 and 1,105.08 is: 1,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.97 : 1,780.23 = 1,105.08 : x
  2. Step 2: Convert to fraction form
    1,290.97/1,780.23 = 1,105.08/x
  3. Step 3: Cross multiply
    1,290.97x = 1,780.23 × 1,105.08
  4. Step 4: Simplify right side
    1,290.97x = 1,967,296.57
  5. Step 5: Solve for x
    x = 1,967,296.57/1,290.97
  6. Step 6: Final answer
    x = 1,523.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.