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Finding the Fourth Proportional to 872.33, 1,203.84 and 479.36

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Solution

The fourth proportional to 872.33, 1,203.84 and 479.36 is: 661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.33 : 1,203.84 = 479.36 : x
  2. Step 2: Convert to fraction form
    872.33/1,203.84 = 479.36/x
  3. Step 3: Cross multiply
    872.33x = 1,203.84 × 479.36
  4. Step 4: Simplify right side
    872.33x = 577,065.94
  5. Step 5: Solve for x
    x = 577,065.94/872.33
  6. Step 6: Final answer
    x = 661.52

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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.