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Finding the Fourth Proportional to 509.79, 764.68 and 125.04

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Solution

The fourth proportional to 509.79, 764.68 and 125.04 is: 187.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.79 : 764.68 = 125.04 : x
  2. Step 2: Convert to fraction form
    509.79/764.68 = 125.04/x
  3. Step 3: Cross multiply
    509.79x = 764.68 × 125.04
  4. Step 4: Simplify right side
    509.79x = 95,611.14
  5. Step 5: Solve for x
    x = 95,611.14/509.79
  6. Step 6: Final answer
    x = 187.55

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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.