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Finding the Fourth Proportional to 764.82, 1,055.10 and 516.30

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Solution

The fourth proportional to 764.82, 1,055.10 and 516.30 is: 712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.82 : 1,055.10 = 516.30 : x
  2. Step 2: Convert to fraction form
    764.82/1,055.10 = 516.30/x
  3. Step 3: Cross multiply
    764.82x = 1,055.10 × 516.30
  4. Step 4: Simplify right side
    764.82x = 544,748.13
  5. Step 5: Solve for x
    x = 544,748.13/764.82
  6. Step 6: Final answer
    x = 712.26

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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.