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Finding the Fourth Proportional to 835.23, 1,252.77 and 315.21

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Solution

The fourth proportional to 835.23, 1,252.77 and 315.21 is: 472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.23 : 1,252.77 = 315.21 : x
  2. Step 2: Convert to fraction form
    835.23/1,252.77 = 315.21/x
  3. Step 3: Cross multiply
    835.23x = 1,252.77 × 315.21
  4. Step 4: Simplify right side
    835.23x = 394,885.63
  5. Step 5: Solve for x
    x = 394,885.63/835.23
  6. Step 6: Final answer
    x = 472.79

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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.