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Finding the Fourth Proportional to 1,351.82, 2,027.67 and 775.10

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Solution

The fourth proportional to 1,351.82, 2,027.67 and 775.10 is: 1,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.82 : 2,027.67 = 775.10 : x
  2. Step 2: Convert to fraction form
    1,351.82/2,027.67 = 775.10/x
  3. Step 3: Cross multiply
    1,351.82x = 2,027.67 × 775.10
  4. Step 4: Simplify right side
    1,351.82x = 1,571,647.02
  5. Step 5: Solve for x
    x = 1,571,647.02/1,351.82
  6. Step 6: Final answer
    x = 1,162.62

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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.