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Finding the Fourth Proportional to 838.29, 1,257.41 and 399.86

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Solution

The fourth proportional to 838.29, 1,257.41 and 399.86 is: 599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.29 : 1,257.41 = 399.86 : x
  2. Step 2: Convert to fraction form
    838.29/1,257.41 = 399.86/x
  3. Step 3: Cross multiply
    838.29x = 1,257.41 × 399.86
  4. Step 4: Simplify right side
    838.29x = 502,779.68
  5. Step 5: Solve for x
    x = 502,779.68/838.29
  6. Step 6: Final answer
    x = 599.77

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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.