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Finding the Fourth Proportional to 819.84, 1,229.94 and 455.16

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Solution

The fourth proportional to 819.84, 1,229.94 and 455.16 is: 682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.84 : 1,229.94 = 455.16 : x
  2. Step 2: Convert to fraction form
    819.84/1,229.94 = 455.16/x
  3. Step 3: Cross multiply
    819.84x = 1,229.94 × 455.16
  4. Step 4: Simplify right side
    819.84x = 559,819.49
  5. Step 5: Solve for x
    x = 559,819.49/819.84
  6. Step 6: Final answer
    x = 682.84

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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.