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Finding the Fourth Proportional to 635.64, 880.77 and 627.72

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Solution

The fourth proportional to 635.64, 880.77 and 627.72 is: 869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.64 : 880.77 = 627.72 : x
  2. Step 2: Convert to fraction form
    635.64/880.77 = 627.72/x
  3. Step 3: Cross multiply
    635.64x = 880.77 × 627.72
  4. Step 4: Simplify right side
    635.64x = 552,876.94
  5. Step 5: Solve for x
    x = 552,876.94/635.64
  6. Step 6: Final answer
    x = 869.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.