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Finding the Fourth Proportional to 872.91, 1,204.67 and 541.53

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Solution

The fourth proportional to 872.91, 1,204.67 and 541.53 is: 747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.91 : 1,204.67 = 541.53 : x
  2. Step 2: Convert to fraction form
    872.91/1,204.67 = 541.53/x
  3. Step 3: Cross multiply
    872.91x = 1,204.67 × 541.53
  4. Step 4: Simplify right side
    872.91x = 652,362.24
  5. Step 5: Solve for x
    x = 652,362.24/872.91
  6. Step 6: Final answer
    x = 747.34

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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.