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Finding the Fourth Proportional to 936.33, 1,291.56 and 563.07

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Solution

The fourth proportional to 936.33, 1,291.56 and 563.07 is: 776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.33 : 1,291.56 = 563.07 : x
  2. Step 2: Convert to fraction form
    936.33/1,291.56 = 563.07/x
  3. Step 3: Cross multiply
    936.33x = 1,291.56 × 563.07
  4. Step 4: Simplify right side
    936.33x = 727,238.69
  5. Step 5: Solve for x
    x = 727,238.69/936.33
  6. Step 6: Final answer
    x = 776.69

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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.