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Finding the Fourth Proportional to 905.58, 1,357.97 and 559.31

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Solution

The fourth proportional to 905.58, 1,357.97 and 559.31 is: 838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.58 : 1,357.97 = 559.31 : x
  2. Step 2: Convert to fraction form
    905.58/1,357.97 = 559.31/x
  3. Step 3: Cross multiply
    905.58x = 1,357.97 × 559.31
  4. Step 4: Simplify right side
    905.58x = 759,516.61
  5. Step 5: Solve for x
    x = 759,516.61/905.58
  6. Step 6: Final answer
    x = 838.71

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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.