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Finding the Fourth Proportional to 684.66, 1,027.12 and 395.76

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Solution

The fourth proportional to 684.66, 1,027.12 and 395.76 is: 593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.66 : 1,027.12 = 395.76 : x
  2. Step 2: Convert to fraction form
    684.66/1,027.12 = 395.76/x
  3. Step 3: Cross multiply
    684.66x = 1,027.12 × 395.76
  4. Step 4: Simplify right side
    684.66x = 406,493.01
  5. Step 5: Solve for x
    x = 406,493.01/684.66
  6. Step 6: Final answer
    x = 593.72

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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.