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Finding the Fourth Proportional to 796.49, 1,195.28 and 412.01

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Solution

The fourth proportional to 796.49, 1,195.28 and 412.01 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.49 : 1,195.28 = 412.01 : x
  2. Step 2: Convert to fraction form
    796.49/1,195.28 = 412.01/x
  3. Step 3: Cross multiply
    796.49x = 1,195.28 × 412.01
  4. Step 4: Simplify right side
    796.49x = 492,465.25
  5. Step 5: Solve for x
    x = 492,465.25/796.49
  6. Step 6: Final answer
    x = 618.29

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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.