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Finding the Fourth Proportional to 1,029.13, 1,542.78 and 379.44

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Solution

The fourth proportional to 1,029.13, 1,542.78 and 379.44 is: 568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.13 : 1,542.78 = 379.44 : x
  2. Step 2: Convert to fraction form
    1,029.13/1,542.78 = 379.44/x
  3. Step 3: Cross multiply
    1,029.13x = 1,542.78 × 379.44
  4. Step 4: Simplify right side
    1,029.13x = 585,392.44
  5. Step 5: Solve for x
    x = 585,392.44/1,029.13
  6. Step 6: Final answer
    x = 568.82

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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.