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Finding the Fourth Proportional to 801.99, 1,107.20 and 563.09

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Solution

The fourth proportional to 801.99, 1,107.20 and 563.09 is: 777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.99 : 1,107.20 = 563.09 : x
  2. Step 2: Convert to fraction form
    801.99/1,107.20 = 563.09/x
  3. Step 3: Cross multiply
    801.99x = 1,107.20 × 563.09
  4. Step 4: Simplify right side
    801.99x = 623,449.12
  5. Step 5: Solve for x
    x = 623,449.12/801.99
  6. Step 6: Final answer
    x = 777.38

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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.