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Finding the Fourth Proportional to 936.39, 1,292.04 and 586.92

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Solution

The fourth proportional to 936.39, 1,292.04 and 586.92 is: 809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.39 : 1,292.04 = 586.92 : x
  2. Step 2: Convert to fraction form
    936.39/1,292.04 = 586.92/x
  3. Step 3: Cross multiply
    936.39x = 1,292.04 × 586.92
  4. Step 4: Simplify right side
    936.39x = 758,324.12
  5. Step 5: Solve for x
    x = 758,324.12/936.39
  6. Step 6: Final answer
    x = 809.84

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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.