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Finding the Fourth Proportional to 736.66, 1,016.85 and 516.26

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Solution

The fourth proportional to 736.66, 1,016.85 and 516.26 is: 712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.66 : 1,016.85 = 516.26 : x
  2. Step 2: Convert to fraction form
    736.66/1,016.85 = 516.26/x
  3. Step 3: Cross multiply
    736.66x = 1,016.85 × 516.26
  4. Step 4: Simplify right side
    736.66x = 524,963.46
  5. Step 5: Solve for x
    x = 524,963.46/736.66
  6. Step 6: Final answer
    x = 712.63

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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.