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Finding the Fourth Proportional to 906.44, 1,361.82 and 521.96

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Solution

The fourth proportional to 906.44, 1,361.82 and 521.96 is: 784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.44 : 1,361.82 = 521.96 : x
  2. Step 2: Convert to fraction form
    906.44/1,361.82 = 521.96/x
  3. Step 3: Cross multiply
    906.44x = 1,361.82 × 521.96
  4. Step 4: Simplify right side
    906.44x = 710,815.57
  5. Step 5: Solve for x
    x = 710,815.57/906.44
  6. Step 6: Final answer
    x = 784.18

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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.