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Finding the Fourth Proportional to 872.83, 1,204.51 and 479.85

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Solution

The fourth proportional to 872.83, 1,204.51 and 479.85 is: 662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.83 : 1,204.51 = 479.85 : x
  2. Step 2: Convert to fraction form
    872.83/1,204.51 = 479.85/x
  3. Step 3: Cross multiply
    872.83x = 1,204.51 × 479.85
  4. Step 4: Simplify right side
    872.83x = 577,984.12
  5. Step 5: Solve for x
    x = 577,984.12/872.83
  6. Step 6: Final answer
    x = 662.20

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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.