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Finding the Fourth Proportional to 1,751.09, 2,626.61 and 764.87

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Solution

The fourth proportional to 1,751.09, 2,626.61 and 764.87 is: 1,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.09 : 2,626.61 = 764.87 : x
  2. Step 2: Convert to fraction form
    1,751.09/2,626.61 = 764.87/x
  3. Step 3: Cross multiply
    1,751.09x = 2,626.61 × 764.87
  4. Step 4: Simplify right side
    1,751.09x = 2,008,998.23
  5. Step 5: Solve for x
    x = 2,008,998.23/1,751.09
  6. Step 6: Final answer
    x = 1,147.29

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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.