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Finding the Fourth Proportional to 835.79, 1,252.46 and 470.07

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Solution

The fourth proportional to 835.79, 1,252.46 and 470.07 is: 704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.79 : 1,252.46 = 470.07 : x
  2. Step 2: Convert to fraction form
    835.79/1,252.46 = 470.07/x
  3. Step 3: Cross multiply
    835.79x = 1,252.46 × 470.07
  4. Step 4: Simplify right side
    835.79x = 588,745.05
  5. Step 5: Solve for x
    x = 588,745.05/835.79
  6. Step 6: Final answer
    x = 704.42

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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.