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Finding the Fourth Proportional to 807.83, 1,212.25 and 397.02

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Solution

The fourth proportional to 807.83, 1,212.25 and 397.02 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.83 : 1,212.25 = 397.02 : x
  2. Step 2: Convert to fraction form
    807.83/1,212.25 = 397.02/x
  3. Step 3: Cross multiply
    807.83x = 1,212.25 × 397.02
  4. Step 4: Simplify right side
    807.83x = 481,287.50
  5. Step 5: Solve for x
    x = 481,287.50/807.83
  6. Step 6: Final answer
    x = 595.78

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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.