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Finding the Fourth Proportional to 936.73, 1,292.54 and 517.01

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Solution

The fourth proportional to 936.73, 1,292.54 and 517.01 is: 713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.73 : 1,292.54 = 517.01 : x
  2. Step 2: Convert to fraction form
    936.73/1,292.54 = 517.01/x
  3. Step 3: Cross multiply
    936.73x = 1,292.54 × 517.01
  4. Step 4: Simplify right side
    936.73x = 668,255.78
  5. Step 5: Solve for x
    x = 668,255.78/936.73
  6. Step 6: Final answer
    x = 713.39

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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.