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Finding the Fourth Proportional to 1,805.74, 2,708.85 and 765.09

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Solution

The fourth proportional to 1,805.74, 2,708.85 and 765.09 is: 1,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.74 : 2,708.85 = 765.09 : x
  2. Step 2: Convert to fraction form
    1,805.74/2,708.85 = 765.09/x
  3. Step 3: Cross multiply
    1,805.74x = 2,708.85 × 765.09
  4. Step 4: Simplify right side
    1,805.74x = 2,072,516.92
  5. Step 5: Solve for x
    x = 2,072,516.92/1,805.74
  6. Step 6: Final answer
    x = 1,147.74

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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.