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Finding the Fourth Proportional to 796.78, 1,196.43 and 468.73

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Solution

The fourth proportional to 796.78, 1,196.43 and 468.73 is: 703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.78 : 1,196.43 = 468.73 : x
  2. Step 2: Convert to fraction form
    796.78/1,196.43 = 468.73/x
  3. Step 3: Cross multiply
    796.78x = 1,196.43 × 468.73
  4. Step 4: Simplify right side
    796.78x = 560,802.63
  5. Step 5: Solve for x
    x = 560,802.63/796.78
  6. Step 6: Final answer
    x = 703.84

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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.