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Finding the Fourth Proportional to 1,351.32, 2,027.61 and 774.18

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Solution

The fourth proportional to 1,351.32, 2,027.61 and 774.18 is: 1,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.32 : 2,027.61 = 774.18 : x
  2. Step 2: Convert to fraction form
    1,351.32/2,027.61 = 774.18/x
  3. Step 3: Cross multiply
    1,351.32x = 2,027.61 × 774.18
  4. Step 4: Simplify right side
    1,351.32x = 1,569,735.11
  5. Step 5: Solve for x
    x = 1,569,735.11/1,351.32
  6. Step 6: Final answer
    x = 1,161.63

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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.