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Finding the Fourth Proportional to 635.82, 955.85 and 507.44

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Solution

The fourth proportional to 635.82, 955.85 and 507.44 is: 762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.82 : 955.85 = 507.44 : x
  2. Step 2: Convert to fraction form
    635.82/955.85 = 507.44/x
  3. Step 3: Cross multiply
    635.82x = 955.85 × 507.44
  4. Step 4: Simplify right side
    635.82x = 485,029.21
  5. Step 5: Solve for x
    x = 485,029.21/635.82
  6. Step 6: Final answer
    x = 762.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.