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Finding the Fourth Proportional to 797.30, 1,195.63 and 412.02

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Solution

The fourth proportional to 797.30, 1,195.63 and 412.02 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.30 : 1,195.63 = 412.02 : x
  2. Step 2: Convert to fraction form
    797.30/1,195.63 = 412.02/x
  3. Step 3: Cross multiply
    797.30x = 1,195.63 × 412.02
  4. Step 4: Simplify right side
    797.30x = 492,623.47
  5. Step 5: Solve for x
    x = 492,623.47/797.30
  6. Step 6: Final answer
    x = 617.86

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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.