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Finding the Fourth Proportional to 764.31, 1,143.72 and 661.94

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Solution

The fourth proportional to 764.31, 1,143.72 and 661.94 is: 990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.31 : 1,143.72 = 661.94 : x
  2. Step 2: Convert to fraction form
    764.31/1,143.72 = 661.94/x
  3. Step 3: Cross multiply
    764.31x = 1,143.72 × 661.94
  4. Step 4: Simplify right side
    764.31x = 757,074.02
  5. Step 5: Solve for x
    x = 757,074.02/764.31
  6. Step 6: Final answer
    x = 990.54

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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.