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Finding the Fourth Proportional to 1,805.76, 2,708.76 and 764.73

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Solution

The fourth proportional to 1,805.76, 2,708.76 and 764.73 is: 1,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.76 : 2,708.76 = 764.73 : x
  2. Step 2: Convert to fraction form
    1,805.76/2,708.76 = 764.73/x
  3. Step 3: Cross multiply
    1,805.76x = 2,708.76 × 764.73
  4. Step 4: Simplify right side
    1,805.76x = 2,071,470.03
  5. Step 5: Solve for x
    x = 2,071,470.03/1,805.76
  6. Step 6: Final answer
    x = 1,147.15

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Why These Related Problems?

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