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Finding the Fourth Proportional to 1,176.02, 1,764.41 and 396.40

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Solution

The fourth proportional to 1,176.02, 1,764.41 and 396.40 is: 594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.02 : 1,764.41 = 396.40 : x
  2. Step 2: Convert to fraction form
    1,176.02/1,764.41 = 396.40/x
  3. Step 3: Cross multiply
    1,176.02x = 1,764.41 × 396.40
  4. Step 4: Simplify right side
    1,176.02x = 699,412.12
  5. Step 5: Solve for x
    x = 699,412.12/1,176.02
  6. Step 6: Final answer
    x = 594.73

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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.