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Finding the Fourth Proportional to 1,178.58, 1,767.87 and 447.98

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Solution

The fourth proportional to 1,178.58, 1,767.87 and 447.98 is: 671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.58 : 1,767.87 = 447.98 : x
  2. Step 2: Convert to fraction form
    1,178.58/1,767.87 = 447.98/x
  3. Step 3: Cross multiply
    1,178.58x = 1,767.87 × 447.98
  4. Step 4: Simplify right side
    1,178.58x = 791,974.82
  5. Step 5: Solve for x
    x = 791,974.82/1,178.58
  6. Step 6: Final answer
    x = 671.97

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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.