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Finding the Fourth Proportional to 797.60, 1,194.48 and 778.16

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Solution

The fourth proportional to 797.60, 1,194.48 and 778.16 is: 1,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.60 : 1,194.48 = 778.16 : x
  2. Step 2: Convert to fraction form
    797.60/1,194.48 = 778.16/x
  3. Step 3: Cross multiply
    797.60x = 1,194.48 × 778.16
  4. Step 4: Simplify right side
    797.60x = 929,496.56
  5. Step 5: Solve for x
    x = 929,496.56/797.60
  6. Step 6: Final answer
    x = 1,165.37

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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.