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Finding the Fourth Proportional to 1,178.08, 1,766.84 and 397.88

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Solution

The fourth proportional to 1,178.08, 1,766.84 and 397.88 is: 596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.08 : 1,766.84 = 397.88 : x
  2. Step 2: Convert to fraction form
    1,178.08/1,766.84 = 397.88/x
  3. Step 3: Cross multiply
    1,178.08x = 1,766.84 × 397.88
  4. Step 4: Simplify right side
    1,178.08x = 702,990.30
  5. Step 5: Solve for x
    x = 702,990.30/1,178.08
  6. Step 6: Final answer
    x = 596.73

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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.