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Finding the Fourth Proportional to 906.63, 1,353.09 and 819.15

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Solution

The fourth proportional to 906.63, 1,353.09 and 819.15 is: 1,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.63 : 1,353.09 = 819.15 : x
  2. Step 2: Convert to fraction form
    906.63/1,353.09 = 819.15/x
  3. Step 3: Cross multiply
    906.63x = 1,353.09 × 819.15
  4. Step 4: Simplify right side
    906.63x = 1,108,374.86
  5. Step 5: Solve for x
    x = 1,108,374.86/906.63
  6. Step 6: Final answer
    x = 1,222.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.