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Finding the Fourth Proportional to 803.28, 1,202.68 and 412.44

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Solution

The fourth proportional to 803.28, 1,202.68 and 412.44 is: 617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.28 : 1,202.68 = 412.44 : x
  2. Step 2: Convert to fraction form
    803.28/1,202.68 = 412.44/x
  3. Step 3: Cross multiply
    803.28x = 1,202.68 × 412.44
  4. Step 4: Simplify right side
    803.28x = 496,033.34
  5. Step 5: Solve for x
    x = 496,033.34/803.28
  6. Step 6: Final answer
    x = 617.51

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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.