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Finding the Fourth Proportional to 633.95, 952.09 and 518.64

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Solution

The fourth proportional to 633.95, 952.09 and 518.64 is: 778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.95 : 952.09 = 518.64 : x
  2. Step 2: Convert to fraction form
    633.95/952.09 = 518.64/x
  3. Step 3: Cross multiply
    633.95x = 952.09 × 518.64
  4. Step 4: Simplify right side
    633.95x = 493,787.20
  5. Step 5: Solve for x
    x = 493,787.20/633.95
  6. Step 6: Final answer
    x = 778.91

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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.