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Finding the Fourth Proportional to 936.96, 1,293.04 and 517.34

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Solution

The fourth proportional to 936.96, 1,293.04 and 517.34 is: 713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.96 : 1,293.04 = 517.34 : x
  2. Step 2: Convert to fraction form
    936.96/1,293.04 = 517.34/x
  3. Step 3: Cross multiply
    936.96x = 1,293.04 × 517.34
  4. Step 4: Simplify right side
    936.96x = 668,941.31
  5. Step 5: Solve for x
    x = 668,941.31/936.96
  6. Step 6: Final answer
    x = 713.95

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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.