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Finding the Fourth Proportional to 835.75, 1,252.81 and 402.67

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Solution

The fourth proportional to 835.75, 1,252.81 and 402.67 is: 603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.75 : 1,252.81 = 402.67 : x
  2. Step 2: Convert to fraction form
    835.75/1,252.81 = 402.67/x
  3. Step 3: Cross multiply
    835.75x = 1,252.81 × 402.67
  4. Step 4: Simplify right side
    835.75x = 504,471.07
  5. Step 5: Solve for x
    x = 504,471.07/835.75
  6. Step 6: Final answer
    x = 603.61

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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.