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Finding the Fourth Proportional to 806.29, 1,209.48 and 395.62

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Solution

The fourth proportional to 806.29, 1,209.48 and 395.62 is: 593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.29 : 1,209.48 = 395.62 : x
  2. Step 2: Convert to fraction form
    806.29/1,209.48 = 395.62/x
  3. Step 3: Cross multiply
    806.29x = 1,209.48 × 395.62
  4. Step 4: Simplify right side
    806.29x = 478,494.48
  5. Step 5: Solve for x
    x = 478,494.48/806.29
  6. Step 6: Final answer
    x = 593.45

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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.