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Finding the Fourth Proportional to 819.88, 1,131.12 and 540.04

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Solution

The fourth proportional to 819.88, 1,131.12 and 540.04 is: 745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.88 : 1,131.12 = 540.04 : x
  2. Step 2: Convert to fraction form
    819.88/1,131.12 = 540.04/x
  3. Step 3: Cross multiply
    819.88x = 1,131.12 × 540.04
  4. Step 4: Simplify right side
    819.88x = 610,850.04
  5. Step 5: Solve for x
    x = 610,850.04/819.88
  6. Step 6: Final answer
    x = 745.05

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