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Finding the Fourth Proportional to 799.92, 1,102.75 and 563.13

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Solution

The fourth proportional to 799.92, 1,102.75 and 563.13 is: 776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.92 : 1,102.75 = 563.13 : x
  2. Step 2: Convert to fraction form
    799.92/1,102.75 = 563.13/x
  3. Step 3: Cross multiply
    799.92x = 1,102.75 × 563.13
  4. Step 4: Simplify right side
    799.92x = 620,990.20
  5. Step 5: Solve for x
    x = 620,990.20/799.92
  6. Step 6: Final answer
    x = 776.32

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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.