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Finding the Fourth Proportional to 635.22, 876.74 and 517.95

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Solution

The fourth proportional to 635.22, 876.74 and 517.95 is: 714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.22 : 876.74 = 517.95 : x
  2. Step 2: Convert to fraction form
    635.22/876.74 = 517.95/x
  3. Step 3: Cross multiply
    635.22x = 876.74 × 517.95
  4. Step 4: Simplify right side
    635.22x = 454,104.89
  5. Step 5: Solve for x
    x = 454,104.89/635.22
  6. Step 6: Final answer
    x = 714.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.