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Finding the Fourth Proportional to 872.74, 1,204.33 and 479.77

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Solution

The fourth proportional to 872.74, 1,204.33 and 479.77 is: 662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.74 : 1,204.33 = 479.77 : x
  2. Step 2: Convert to fraction form
    872.74/1,204.33 = 479.77/x
  3. Step 3: Cross multiply
    872.74x = 1,204.33 × 479.77
  4. Step 4: Simplify right side
    872.74x = 577,799.59
  5. Step 5: Solve for x
    x = 577,799.59/872.74
  6. Step 6: Final answer
    x = 662.05

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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.