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Finding the Fourth Proportional to 799.26, 1,101.48 and 563.24

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Solution

The fourth proportional to 799.26, 1,101.48 and 563.24 is: 776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.26 : 1,101.48 = 563.24 : x
  2. Step 2: Convert to fraction form
    799.26/1,101.48 = 563.24/x
  3. Step 3: Cross multiply
    799.26x = 1,101.48 × 563.24
  4. Step 4: Simplify right side
    799.26x = 620,397.60
  5. Step 5: Solve for x
    x = 620,397.60/799.26
  6. Step 6: Final answer
    x = 776.21

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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.