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Finding the Fourth Proportional to 668.78, 927.14 and 633.65

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Solution

The fourth proportional to 668.78, 927.14 and 633.65 is: 878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.78 : 927.14 = 633.65 : x
  2. Step 2: Convert to fraction form
    668.78/927.14 = 633.65/x
  3. Step 3: Cross multiply
    668.78x = 927.14 × 633.65
  4. Step 4: Simplify right side
    668.78x = 587,482.26
  5. Step 5: Solve for x
    x = 587,482.26/668.78
  6. Step 6: Final answer
    x = 878.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.