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Finding the Fourth Proportional to 1,749.82, 2,625.19 and 775.69

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Solution

The fourth proportional to 1,749.82, 2,625.19 and 775.69 is: 1,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.82 : 2,625.19 = 775.69 : x
  2. Step 2: Convert to fraction form
    1,749.82/2,625.19 = 775.69/x
  3. Step 3: Cross multiply
    1,749.82x = 2,625.19 × 775.69
  4. Step 4: Simplify right side
    1,749.82x = 2,036,329.75
  5. Step 5: Solve for x
    x = 2,036,329.75/1,749.82
  6. Step 6: Final answer
    x = 1,163.74

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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.