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Finding the Fourth Proportional to 765, 1,055.37 and 516.39

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Solution

The fourth proportional to 765, 1,055.37 and 516.39 is: 712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    765 : 1,055.37 = 516.39 : x
  2. Step 2: Convert to fraction form
    765/1,055.37 = 516.39/x
  3. Step 3: Cross multiply
    765x = 1,055.37 × 516.39
  4. Step 4: Simplify right side
    765x = 544,982.51
  5. Step 5: Solve for x
    x = 544,982.51/765
  6. Step 6: Final answer
    x = 712.40

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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.