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Finding the Fourth Proportional to 874.15, 1,206.31 and 481.16

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Solution

The fourth proportional to 874.15, 1,206.31 and 481.16 is: 663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.15 : 1,206.31 = 481.16 : x
  2. Step 2: Convert to fraction form
    874.15/1,206.31 = 481.16/x
  3. Step 3: Cross multiply
    874.15x = 1,206.31 × 481.16
  4. Step 4: Simplify right side
    874.15x = 580,428.12
  5. Step 5: Solve for x
    x = 580,428.12/874.15
  6. Step 6: Final answer
    x = 663.99

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Why These Related Problems?

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