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Finding the Fourth Proportional to 971.67, 1,456.09 and 484.05

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Solution

The fourth proportional to 971.67, 1,456.09 and 484.05 is: 725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.67 : 1,456.09 = 484.05 : x
  2. Step 2: Convert to fraction form
    971.67/1,456.09 = 484.05/x
  3. Step 3: Cross multiply
    971.67x = 1,456.09 × 484.05
  4. Step 4: Simplify right side
    971.67x = 704,817.94
  5. Step 5: Solve for x
    x = 704,817.94/971.67
  6. Step 6: Final answer
    x = 725.37

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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.