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Finding the Fourth Proportional to 778.44, 1,168.38 and 596.28

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Solution

The fourth proportional to 778.44, 1,168.38 and 596.28 is: 894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.44 : 1,168.38 = 596.28 : x
  2. Step 2: Convert to fraction form
    778.44/1,168.38 = 596.28/x
  3. Step 3: Cross multiply
    778.44x = 1,168.38 × 596.28
  4. Step 4: Simplify right side
    778.44x = 696,681.63
  5. Step 5: Solve for x
    x = 696,681.63/778.44
  6. Step 6: Final answer
    x = 894.97

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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.