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Finding the Fourth Proportional to 509.97, 764.96 and 125.22

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Solution

The fourth proportional to 509.97, 764.96 and 125.22 is: 187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.97 : 764.96 = 125.22 : x
  2. Step 2: Convert to fraction form
    509.97/764.96 = 125.22/x
  3. Step 3: Cross multiply
    509.97x = 764.96 × 125.22
  4. Step 4: Simplify right side
    509.97x = 95,788.29
  5. Step 5: Solve for x
    x = 95,788.29/509.97
  6. Step 6: Final answer
    x = 187.83

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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.