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Finding the Fourth Proportional to 764.84, 1,055.34 and 516.56

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Solution

The fourth proportional to 764.84, 1,055.34 and 516.56 is: 712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.84 : 1,055.34 = 516.56 : x
  2. Step 2: Convert to fraction form
    764.84/1,055.34 = 516.56/x
  3. Step 3: Cross multiply
    764.84x = 1,055.34 × 516.56
  4. Step 4: Simplify right side
    764.84x = 545,146.43
  5. Step 5: Solve for x
    x = 545,146.43/764.84
  6. Step 6: Final answer
    x = 712.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.