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Finding the Fourth Proportional to 1,290.62, 1,780.49 and 859.56

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Solution

The fourth proportional to 1,290.62, 1,780.49 and 859.56 is: 1,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.62 : 1,780.49 = 859.56 : x
  2. Step 2: Convert to fraction form
    1,290.62/1,780.49 = 859.56/x
  3. Step 3: Cross multiply
    1,290.62x = 1,780.49 × 859.56
  4. Step 4: Simplify right side
    1,290.62x = 1,530,433.69
  5. Step 5: Solve for x
    x = 1,530,433.69/1,290.62
  6. Step 6: Final answer
    x = 1,185.82

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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.