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Finding the Fourth Proportional to 1,419, 1,958.24 and 829.56

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Solution

The fourth proportional to 1,419, 1,958.24 and 829.56 is: 1,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419 : 1,958.24 = 829.56 : x
  2. Step 2: Convert to fraction form
    1,419/1,958.24 = 829.56/x
  3. Step 3: Cross multiply
    1,419x = 1,958.24 × 829.56
  4. Step 4: Simplify right side
    1,419x = 1,624,477.57
  5. Step 5: Solve for x
    x = 1,624,477.57/1,419
  6. Step 6: Final answer
    x = 1,144.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.