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Finding the Fourth Proportional to 872.10, 1,203.12 and 540.68

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Solution

The fourth proportional to 872.10, 1,203.12 and 540.68 is: 745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.10 : 1,203.12 = 540.68 : x
  2. Step 2: Convert to fraction form
    872.10/1,203.12 = 540.68/x
  3. Step 3: Cross multiply
    872.10x = 1,203.12 × 540.68
  4. Step 4: Simplify right side
    872.10x = 650,496.91
  5. Step 5: Solve for x
    x = 650,496.91/872.10
  6. Step 6: Final answer
    x = 745.90

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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.