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Finding the Fourth Proportional to 1,176.46, 1,764.96 and 396.45

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Solution

The fourth proportional to 1,176.46, 1,764.96 and 396.45 is: 594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.46 : 1,764.96 = 396.45 : x
  2. Step 2: Convert to fraction form
    1,176.46/1,764.96 = 396.45/x
  3. Step 3: Cross multiply
    1,176.46x = 1,764.96 × 396.45
  4. Step 4: Simplify right side
    1,176.46x = 699,713.26
  5. Step 5: Solve for x
    x = 699,713.26/1,176.46
  6. Step 6: Final answer
    x = 594.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.