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Finding the Fourth Proportional to 684.88, 1,027.67 and 376.97

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Solution

The fourth proportional to 684.88, 1,027.67 and 376.97 is: 565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.88 : 1,027.67 = 376.97 : x
  2. Step 2: Convert to fraction form
    684.88/1,027.67 = 376.97/x
  3. Step 3: Cross multiply
    684.88x = 1,027.67 × 376.97
  4. Step 4: Simplify right side
    684.88x = 387,400.76
  5. Step 5: Solve for x
    x = 387,400.76/684.88
  6. Step 6: Final answer
    x = 565.65

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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.