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Finding the Fourth Proportional to 797.20, 1,195.80 and 765.20

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Solution

The fourth proportional to 797.20, 1,195.80 and 765.20 is: 1,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.20 : 1,195.80 = 765.20 : x
  2. Step 2: Convert to fraction form
    797.20/1,195.80 = 765.20/x
  3. Step 3: Cross multiply
    797.20x = 1,195.80 × 765.20
  4. Step 4: Simplify right side
    797.20x = 915,026.16
  5. Step 5: Solve for x
    x = 915,026.16/797.20
  6. Step 6: Final answer
    x = 1,147.80

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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.