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Finding the Fourth Proportional to 509.88, 764.81 and 125.13

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Solution

The fourth proportional to 509.88, 764.81 and 125.13 is: 187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.88 : 764.81 = 125.13 : x
  2. Step 2: Convert to fraction form
    509.88/764.81 = 125.13/x
  3. Step 3: Cross multiply
    509.88x = 764.81 × 125.13
  4. Step 4: Simplify right side
    509.88x = 95,700.68
  5. Step 5: Solve for x
    x = 95,700.68/509.88
  6. Step 6: Final answer
    x = 187.69

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Why These Related Problems?

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