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Finding the Fourth Proportional to 1,200.20, 1,797.42 and 814.28

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Solution

The fourth proportional to 1,200.20, 1,797.42 and 814.28 is: 1,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.20 : 1,797.42 = 814.28 : x
  2. Step 2: Convert to fraction form
    1,200.20/1,797.42 = 814.28/x
  3. Step 3: Cross multiply
    1,200.20x = 1,797.42 × 814.28
  4. Step 4: Simplify right side
    1,200.20x = 1,463,603.16
  5. Step 5: Solve for x
    x = 1,463,603.16/1,200.20
  6. Step 6: Final answer
    x = 1,219.47

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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.