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Finding the Fourth Proportional to 807.26, 1,209.96 and 395.49

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Solution

The fourth proportional to 807.26, 1,209.96 and 395.49 is: 592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.26 : 1,209.96 = 395.49 : x
  2. Step 2: Convert to fraction form
    807.26/1,209.96 = 395.49/x
  3. Step 3: Cross multiply
    807.26x = 1,209.96 × 395.49
  4. Step 4: Simplify right side
    807.26x = 478,527.08
  5. Step 5: Solve for x
    x = 478,527.08/807.26
  6. Step 6: Final answer
    x = 592.78

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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.