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Finding the Fourth Proportional to 727.71, 1,004.22 and 541.41

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Solution

The fourth proportional to 727.71, 1,004.22 and 541.41 is: 747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.71 : 1,004.22 = 541.41 : x
  2. Step 2: Convert to fraction form
    727.71/1,004.22 = 541.41/x
  3. Step 3: Cross multiply
    727.71x = 1,004.22 × 541.41
  4. Step 4: Simplify right side
    727.71x = 543,694.75
  5. Step 5: Solve for x
    x = 543,694.75/727.71
  6. Step 6: Final answer
    x = 747.13

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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.