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Finding the Fourth Proportional to 1,178.45, 1,767.90 and 447.97

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Solution

The fourth proportional to 1,178.45, 1,767.90 and 447.97 is: 672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.45 : 1,767.90 = 447.97 : x
  2. Step 2: Convert to fraction form
    1,178.45/1,767.90 = 447.97/x
  3. Step 3: Cross multiply
    1,178.45x = 1,767.90 × 447.97
  4. Step 4: Simplify right side
    1,178.45x = 791,957.37
  5. Step 5: Solve for x
    x = 791,957.37/1,178.45
  6. Step 6: Final answer
    x = 672.03

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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.