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Finding the Fourth Proportional to 803.27, 1,202.68 and 412.43

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Solution

The fourth proportional to 803.27, 1,202.68 and 412.43 is: 617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.27 : 1,202.68 = 412.43 : x
  2. Step 2: Convert to fraction form
    803.27/1,202.68 = 412.43/x
  3. Step 3: Cross multiply
    803.27x = 1,202.68 × 412.43
  4. Step 4: Simplify right side
    803.27x = 496,021.31
  5. Step 5: Solve for x
    x = 496,021.31/803.27
  6. Step 6: Final answer
    x = 617.50

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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.