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Finding the Fourth Proportional to 1,427.70, 2,141.34 and 605.82

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Solution

The fourth proportional to 1,427.70, 2,141.34 and 605.82 is: 908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.70 : 2,141.34 = 605.82 : x
  2. Step 2: Convert to fraction form
    1,427.70/2,141.34 = 605.82/x
  3. Step 3: Cross multiply
    1,427.70x = 2,141.34 × 605.82
  4. Step 4: Simplify right side
    1,427.70x = 1,297,266.60
  5. Step 5: Solve for x
    x = 1,297,266.60/1,427.70
  6. Step 6: Final answer
    x = 908.64

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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.