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Finding the Fourth Proportional to 872.41, 1,204.15 and 540.64

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Solution

The fourth proportional to 872.41, 1,204.15 and 540.64 is: 746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.41 : 1,204.15 = 540.64 : x
  2. Step 2: Convert to fraction form
    872.41/1,204.15 = 540.64/x
  3. Step 3: Cross multiply
    872.41x = 1,204.15 × 540.64
  4. Step 4: Simplify right side
    872.41x = 651,002.93
  5. Step 5: Solve for x
    x = 651,002.93/872.41
  6. Step 6: Final answer
    x = 746.22

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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.