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Finding the Fourth Proportional to 872.30, 1,203.80 and 479.35

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Solution

The fourth proportional to 872.30, 1,203.80 and 479.35 is: 661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.30 : 1,203.80 = 479.35 : x
  2. Step 2: Convert to fraction form
    872.30/1,203.80 = 479.35/x
  3. Step 3: Cross multiply
    872.30x = 1,203.80 × 479.35
  4. Step 4: Simplify right side
    872.30x = 577,040.64
  5. Step 5: Solve for x
    x = 577,040.64/872.30
  6. Step 6: Final answer
    x = 661.51

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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.