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Finding the Fourth Proportional to 635.07, 876.07 and 523.90

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Solution

The fourth proportional to 635.07, 876.07 and 523.90 is: 722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.07 : 876.07 = 523.90 : x
  2. Step 2: Convert to fraction form
    635.07/876.07 = 523.90/x
  3. Step 3: Cross multiply
    635.07x = 876.07 × 523.90
  4. Step 4: Simplify right side
    635.07x = 458,971.88
  5. Step 5: Solve for x
    x = 458,971.88/635.07
  6. Step 6: Final answer
    x = 722.71

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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.