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Finding the Fourth Proportional to 908.96, 1,369.78 and 822.35

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Solution

The fourth proportional to 908.96, 1,369.78 and 822.35 is: 1,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.96 : 1,369.78 = 822.35 : x
  2. Step 2: Convert to fraction form
    908.96/1,369.78 = 822.35/x
  3. Step 3: Cross multiply
    908.96x = 1,369.78 × 822.35
  4. Step 4: Simplify right side
    908.96x = 1,126,439.95
  5. Step 5: Solve for x
    x = 1,126,439.95/908.96
  6. Step 6: Final answer
    x = 1,239.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.