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Finding the Fourth Proportional to 819.84, 1,230.57 and 667.56

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Solution

The fourth proportional to 819.84, 1,230.57 and 667.56 is: 1,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.84 : 1,230.57 = 667.56 : x
  2. Step 2: Convert to fraction form
    819.84/1,230.57 = 667.56/x
  3. Step 3: Cross multiply
    819.84x = 1,230.57 × 667.56
  4. Step 4: Simplify right side
    819.84x = 821,479.31
  5. Step 5: Solve for x
    x = 821,479.31/819.84
  6. Step 6: Final answer
    x = 1,002.00

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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.