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Finding the Fourth Proportional to 838.42, 1,257.49 and 399.94

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Solution

The fourth proportional to 838.42, 1,257.49 and 399.94 is: 599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.42 : 1,257.49 = 399.94 : x
  2. Step 2: Convert to fraction form
    838.42/1,257.49 = 399.94/x
  3. Step 3: Cross multiply
    838.42x = 1,257.49 × 399.94
  4. Step 4: Simplify right side
    838.42x = 502,917.91
  5. Step 5: Solve for x
    x = 502,917.91/838.42
  6. Step 6: Final answer
    x = 599.84

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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.