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Finding the Fourth Proportional to 936.26, 1,291.68 and 563.12

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Solution

The fourth proportional to 936.26, 1,291.68 and 563.12 is: 776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.26 : 1,291.68 = 563.12 : x
  2. Step 2: Convert to fraction form
    936.26/1,291.68 = 563.12/x
  3. Step 3: Cross multiply
    936.26x = 1,291.68 × 563.12
  4. Step 4: Simplify right side
    936.26x = 727,370.84
  5. Step 5: Solve for x
    x = 727,370.84/936.26
  6. Step 6: Final answer
    x = 776.89

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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.