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Finding the Fourth Proportional to 835.09, 1,252.61 and 257.96

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Solution

The fourth proportional to 835.09, 1,252.61 and 257.96 is: 386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.09 : 1,252.61 = 257.96 : x
  2. Step 2: Convert to fraction form
    835.09/1,252.61 = 257.96/x
  3. Step 3: Cross multiply
    835.09x = 1,252.61 × 257.96
  4. Step 4: Simplify right side
    835.09x = 323,121.99
  5. Step 5: Solve for x
    x = 323,121.99/835.09
  6. Step 6: Final answer
    x = 386.93

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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.