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Finding the Fourth Proportional to 834.26, 1,252.53 and 469.31

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Solution

The fourth proportional to 834.26, 1,252.53 and 469.31 is: 704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.26 : 1,252.53 = 469.31 : x
  2. Step 2: Convert to fraction form
    834.26/1,252.53 = 469.31/x
  3. Step 3: Cross multiply
    834.26x = 1,252.53 × 469.31
  4. Step 4: Simplify right side
    834.26x = 587,816.25
  5. Step 5: Solve for x
    x = 587,816.25/834.26
  6. Step 6: Final answer
    x = 704.60

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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.