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Finding the Fourth Proportional to 764.24, 1,146.09 and 270.51

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Solution

The fourth proportional to 764.24, 1,146.09 and 270.51 is: 405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.24 : 1,146.09 = 270.51 : x
  2. Step 2: Convert to fraction form
    764.24/1,146.09 = 270.51/x
  3. Step 3: Cross multiply
    764.24x = 1,146.09 × 270.51
  4. Step 4: Simplify right side
    764.24x = 310,028.81
  5. Step 5: Solve for x
    x = 310,028.81/764.24
  6. Step 6: Final answer
    x = 405.67

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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.