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Finding the Fourth Proportional to 906.56, 1,364.72 and 827.20

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Solution

The fourth proportional to 906.56, 1,364.72 and 827.20 is: 1,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.56 : 1,364.72 = 827.20 : x
  2. Step 2: Convert to fraction form
    906.56/1,364.72 = 827.20/x
  3. Step 3: Cross multiply
    906.56x = 1,364.72 × 827.20
  4. Step 4: Simplify right side
    906.56x = 1,128,896.38
  5. Step 5: Solve for x
    x = 1,128,896.38/906.56
  6. Step 6: Final answer
    x = 1,245.25

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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.