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Finding the Fourth Proportional to 635, 874.68 and 487.38

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Solution

The fourth proportional to 635, 874.68 and 487.38 is: 671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635 : 874.68 = 487.38 : x
  2. Step 2: Convert to fraction form
    635/874.68 = 487.38/x
  3. Step 3: Cross multiply
    635x = 874.68 × 487.38
  4. Step 4: Simplify right side
    635x = 426,301.54
  5. Step 5: Solve for x
    x = 426,301.54/635
  6. Step 6: Final answer
    x = 671.34

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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.