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Finding the Fourth Proportional to 1,028.29, 1,542.53 and 378.94

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Solution

The fourth proportional to 1,028.29, 1,542.53 and 378.94 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.29 : 1,542.53 = 378.94 : x
  2. Step 2: Convert to fraction form
    1,028.29/1,542.53 = 378.94/x
  3. Step 3: Cross multiply
    1,028.29x = 1,542.53 × 378.94
  4. Step 4: Simplify right side
    1,028.29x = 584,523.41
  5. Step 5: Solve for x
    x = 584,523.41/1,028.29
  6. Step 6: Final answer
    x = 568.44

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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.