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Finding the Fourth Proportional to 796.58, 1,195.08 and 500.43

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Solution

The fourth proportional to 796.58, 1,195.08 and 500.43 is: 750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.58 : 1,195.08 = 500.43 : x
  2. Step 2: Convert to fraction form
    796.58/1,195.08 = 500.43/x
  3. Step 3: Cross multiply
    796.58x = 1,195.08 × 500.43
  4. Step 4: Simplify right side
    796.58x = 598,053.88
  5. Step 5: Solve for x
    x = 598,053.88/796.58
  6. Step 6: Final answer
    x = 750.78

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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.