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Finding the Fourth Proportional to 936.78, 1,292.70 and 517.11

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Solution

The fourth proportional to 936.78, 1,292.70 and 517.11 is: 713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.78 : 1,292.70 = 517.11 : x
  2. Step 2: Convert to fraction form
    936.78/1,292.70 = 517.11/x
  3. Step 3: Cross multiply
    936.78x = 1,292.70 × 517.11
  4. Step 4: Simplify right side
    936.78x = 668,468.10
  5. Step 5: Solve for x
    x = 668,468.10/936.78
  6. Step 6: Final answer
    x = 713.58

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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.