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Finding the Fourth Proportional to 950.26, 1,423.14 and 559.42

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Solution

The fourth proportional to 950.26, 1,423.14 and 559.42 is: 837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.26 : 1,423.14 = 559.42 : x
  2. Step 2: Convert to fraction form
    950.26/1,423.14 = 559.42/x
  3. Step 3: Cross multiply
    950.26x = 1,423.14 × 559.42
  4. Step 4: Simplify right side
    950.26x = 796,132.98
  5. Step 5: Solve for x
    x = 796,132.98/950.26
  6. Step 6: Final answer
    x = 837.81

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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.