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Finding the Fourth Proportional to 1,029.82, 1,544.94 and 380.56

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Solution

The fourth proportional to 1,029.82, 1,544.94 and 380.56 is: 570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.82 : 1,544.94 = 380.56 : x
  2. Step 2: Convert to fraction form
    1,029.82/1,544.94 = 380.56/x
  3. Step 3: Cross multiply
    1,029.82x = 1,544.94 × 380.56
  4. Step 4: Simplify right side
    1,029.82x = 587,942.37
  5. Step 5: Solve for x
    x = 587,942.37/1,029.82
  6. Step 6: Final answer
    x = 570.92

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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.