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Finding the Fourth Proportional to 906.42, 1,359.69 and 827.22

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Solution

The fourth proportional to 906.42, 1,359.69 and 827.22 is: 1,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.42 : 1,359.69 = 827.22 : x
  2. Step 2: Convert to fraction form
    906.42/1,359.69 = 827.22/x
  3. Step 3: Cross multiply
    906.42x = 1,359.69 × 827.22
  4. Step 4: Simplify right side
    906.42x = 1,124,762.76
  5. Step 5: Solve for x
    x = 1,124,762.76/906.42
  6. Step 6: Final answer
    x = 1,240.88

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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.