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Finding the Fourth Proportional to 668.73, 1,004.18 and 425.73

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Solution

The fourth proportional to 668.73, 1,004.18 and 425.73 is: 639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.73 : 1,004.18 = 425.73 : x
  2. Step 2: Convert to fraction form
    668.73/1,004.18 = 425.73/x
  3. Step 3: Cross multiply
    668.73x = 1,004.18 × 425.73
  4. Step 4: Simplify right side
    668.73x = 427,507.42
  5. Step 5: Solve for x
    x = 427,507.42/668.73
  6. Step 6: Final answer
    x = 639.28

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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.