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Finding the Fourth Proportional to 673.14, 1,008.10 and 379.92

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Solution

The fourth proportional to 673.14, 1,008.10 and 379.92 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.14 : 1,008.10 = 379.92 : x
  2. Step 2: Convert to fraction form
    673.14/1,008.10 = 379.92/x
  3. Step 3: Cross multiply
    673.14x = 1,008.10 × 379.92
  4. Step 4: Simplify right side
    673.14x = 382,997.35
  5. Step 5: Solve for x
    x = 382,997.35/673.14
  6. Step 6: Final answer
    x = 568.97

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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.