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Finding the Fourth Proportional to 634.96, 950.82 and 537.76

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Solution

The fourth proportional to 634.96, 950.82 and 537.76 is: 805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.96 : 950.82 = 537.76 : x
  2. Step 2: Convert to fraction form
    634.96/950.82 = 537.76/x
  3. Step 3: Cross multiply
    634.96x = 950.82 × 537.76
  4. Step 4: Simplify right side
    634.96x = 511,312.96
  5. Step 5: Solve for x
    x = 511,312.96/634.96
  6. Step 6: Final answer
    x = 805.27

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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.