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Finding the Fourth Proportional to 936.07, 1,291.17 and 563.16

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Solution

The fourth proportional to 936.07, 1,291.17 and 563.16 is: 776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.07 : 1,291.17 = 563.16 : x
  2. Step 2: Convert to fraction form
    936.07/1,291.17 = 563.16/x
  3. Step 3: Cross multiply
    936.07x = 1,291.17 × 563.16
  4. Step 4: Simplify right side
    936.07x = 727,142.25
  5. Step 5: Solve for x
    x = 727,142.25/936.07
  6. Step 6: Final answer
    x = 776.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.