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Finding the Fourth Proportional to 872.99, 1,204.80 and 480.09

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Solution

The fourth proportional to 872.99, 1,204.80 and 480.09 is: 662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.99 : 1,204.80 = 480.09 : x
  2. Step 2: Convert to fraction form
    872.99/1,204.80 = 480.09/x
  3. Step 3: Cross multiply
    872.99x = 1,204.80 × 480.09
  4. Step 4: Simplify right side
    872.99x = 578,412.43
  5. Step 5: Solve for x
    x = 578,412.43/872.99
  6. Step 6: Final answer
    x = 662.56

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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.