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Finding the Fourth Proportional to 865.51, 1,194.27 and 516.13

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Solution

The fourth proportional to 865.51, 1,194.27 and 516.13 is: 712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.51 : 1,194.27 = 516.13 : x
  2. Step 2: Convert to fraction form
    865.51/1,194.27 = 516.13/x
  3. Step 3: Cross multiply
    865.51x = 1,194.27 × 516.13
  4. Step 4: Simplify right side
    865.51x = 616,392.60
  5. Step 5: Solve for x
    x = 616,392.60/865.51
  6. Step 6: Final answer
    x = 712.18

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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.