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Finding the Fourth Proportional to 796.78, 1,194.18 and 565.30

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Solution

The fourth proportional to 796.78, 1,194.18 and 565.30 is: 847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.78 : 1,194.18 = 565.30 : x
  2. Step 2: Convert to fraction form
    796.78/1,194.18 = 565.30/x
  3. Step 3: Cross multiply
    796.78x = 1,194.18 × 565.30
  4. Step 4: Simplify right side
    796.78x = 675,069.95
  5. Step 5: Solve for x
    x = 675,069.95/796.78
  6. Step 6: Final answer
    x = 847.25

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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.