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Finding the Fourth Proportional to 1,290.47, 1,780.74 and 759.27

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Solution

The fourth proportional to 1,290.47, 1,780.74 and 759.27 is: 1,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.47 : 1,780.74 = 759.27 : x
  2. Step 2: Convert to fraction form
    1,290.47/1,780.74 = 759.27/x
  3. Step 3: Cross multiply
    1,290.47x = 1,780.74 × 759.27
  4. Step 4: Simplify right side
    1,290.47x = 1,352,062.93
  5. Step 5: Solve for x
    x = 1,352,062.93/1,290.47
  6. Step 6: Final answer
    x = 1,047.73

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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.