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Finding the Fourth Proportional to 872.85, 1,205.09 and 541.63

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Solution

The fourth proportional to 872.85, 1,205.09 and 541.63 is: 747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.85 : 1,205.09 = 541.63 : x
  2. Step 2: Convert to fraction form
    872.85/1,205.09 = 541.63/x
  3. Step 3: Cross multiply
    872.85x = 1,205.09 × 541.63
  4. Step 4: Simplify right side
    872.85x = 652,712.90
  5. Step 5: Solve for x
    x = 652,712.90/872.85
  6. Step 6: Final answer
    x = 747.80

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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.