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Finding the Fourth Proportional to 936.19, 1,291.48 and 563.05

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Solution

The fourth proportional to 936.19, 1,291.48 and 563.05 is: 776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.19 : 1,291.48 = 563.05 : x
  2. Step 2: Convert to fraction form
    936.19/1,291.48 = 563.05/x
  3. Step 3: Cross multiply
    936.19x = 1,291.48 × 563.05
  4. Step 4: Simplify right side
    936.19x = 727,168.02
  5. Step 5: Solve for x
    x = 727,168.02/936.19
  6. Step 6: Final answer
    x = 776.73

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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.