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Finding the Fourth Proportional to 801.50, 1,200.31 and 389.62

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Solution

The fourth proportional to 801.50, 1,200.31 and 389.62 is: 583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.50 : 1,200.31 = 389.62 : x
  2. Step 2: Convert to fraction form
    801.50/1,200.31 = 389.62/x
  3. Step 3: Cross multiply
    801.50x = 1,200.31 × 389.62
  4. Step 4: Simplify right side
    801.50x = 467,664.78
  5. Step 5: Solve for x
    x = 467,664.78/801.50
  6. Step 6: Final answer
    x = 583.49

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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.