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Finding the Fourth Proportional to 906.91, 1,361.57 and 582.43

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Solution

The fourth proportional to 906.91, 1,361.57 and 582.43 is: 874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.91 : 1,361.57 = 582.43 : x
  2. Step 2: Convert to fraction form
    906.91/1,361.57 = 582.43/x
  3. Step 3: Cross multiply
    906.91x = 1,361.57 × 582.43
  4. Step 4: Simplify right side
    906.91x = 793,019.22
  5. Step 5: Solve for x
    x = 793,019.22/906.91
  6. Step 6: Final answer
    x = 874.42

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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.