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Finding the Fourth Proportional to 1,028.28, 1,542.15 and 379.47

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Solution

The fourth proportional to 1,028.28, 1,542.15 and 379.47 is: 569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.28 : 1,542.15 = 379.47 : x
  2. Step 2: Convert to fraction form
    1,028.28/1,542.15 = 379.47/x
  3. Step 3: Cross multiply
    1,028.28x = 1,542.15 × 379.47
  4. Step 4: Simplify right side
    1,028.28x = 585,199.66
  5. Step 5: Solve for x
    x = 585,199.66/1,028.28
  6. Step 6: Final answer
    x = 569.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.