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Finding the Fourth Proportional to 635.24, 874.68 and 556.11

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Solution

The fourth proportional to 635.24, 874.68 and 556.11 is: 765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.24 : 874.68 = 556.11 : x
  2. Step 2: Convert to fraction form
    635.24/874.68 = 556.11/x
  3. Step 3: Cross multiply
    635.24x = 874.68 × 556.11
  4. Step 4: Simplify right side
    635.24x = 486,422.97
  5. Step 5: Solve for x
    x = 486,422.97/635.24
  6. Step 6: Final answer
    x = 765.73

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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.