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Finding the Fourth Proportional to 872.69, 1,204.32 and 479.75

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Solution

The fourth proportional to 872.69, 1,204.32 and 479.75 is: 662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.69 : 1,204.32 = 479.75 : x
  2. Step 2: Convert to fraction form
    872.69/1,204.32 = 479.75/x
  3. Step 3: Cross multiply
    872.69x = 1,204.32 × 479.75
  4. Step 4: Simplify right side
    872.69x = 577,772.52
  5. Step 5: Solve for x
    x = 577,772.52/872.69
  6. Step 6: Final answer
    x = 662.06

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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.