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Finding the Fourth Proportional to 763.68, 1,146.21 and 516.29

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Solution

The fourth proportional to 763.68, 1,146.21 and 516.29 is: 774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.68 : 1,146.21 = 516.29 : x
  2. Step 2: Convert to fraction form
    763.68/1,146.21 = 516.29/x
  3. Step 3: Cross multiply
    763.68x = 1,146.21 × 516.29
  4. Step 4: Simplify right side
    763.68x = 591,771.03
  5. Step 5: Solve for x
    x = 591,771.03/763.68
  6. Step 6: Final answer
    x = 774.89

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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.