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Finding the Fourth Proportional to 874.03, 1,206.17 and 481.07

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Solution

The fourth proportional to 874.03, 1,206.17 and 481.07 is: 663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.03 : 1,206.17 = 481.07 : x
  2. Step 2: Convert to fraction form
    874.03/1,206.17 = 481.07/x
  3. Step 3: Cross multiply
    874.03x = 1,206.17 × 481.07
  4. Step 4: Simplify right side
    874.03x = 580,252.20
  5. Step 5: Solve for x
    x = 580,252.20/874.03
  6. Step 6: Final answer
    x = 663.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.