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Finding the Fourth Proportional to 819.57, 1,131.16 and 483.46

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Solution

The fourth proportional to 819.57, 1,131.16 and 483.46 is: 667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.57 : 1,131.16 = 483.46 : x
  2. Step 2: Convert to fraction form
    819.57/1,131.16 = 483.46/x
  3. Step 3: Cross multiply
    819.57x = 1,131.16 × 483.46
  4. Step 4: Simplify right side
    819.57x = 546,863.75
  5. Step 5: Solve for x
    x = 546,863.75/819.57
  6. Step 6: Final answer
    x = 667.25

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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.