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Finding the Fourth Proportional to 839.29, 1,259.12 and 352.09

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Solution

The fourth proportional to 839.29, 1,259.12 and 352.09 is: 528.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.29 : 1,259.12 = 352.09 : x
  2. Step 2: Convert to fraction form
    839.29/1,259.12 = 352.09/x
  3. Step 3: Cross multiply
    839.29x = 1,259.12 × 352.09
  4. Step 4: Simplify right side
    839.29x = 443,318.65
  5. Step 5: Solve for x
    x = 443,318.65/839.29
  6. Step 6: Final answer
    x = 528.21

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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.