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Finding the Fourth Proportional to 872.67, 1,204.29 and 541.11

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Solution

The fourth proportional to 872.67, 1,204.29 and 541.11 is: 746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.67 : 1,204.29 = 541.11 : x
  2. Step 2: Convert to fraction form
    872.67/1,204.29 = 541.11/x
  3. Step 3: Cross multiply
    872.67x = 1,204.29 × 541.11
  4. Step 4: Simplify right side
    872.67x = 651,653.36
  5. Step 5: Solve for x
    x = 651,653.36/872.67
  6. Step 6: Final answer
    x = 746.74

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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.