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Finding the Fourth Proportional to 799.82, 1,104.26 and 652.80

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Solution

The fourth proportional to 799.82, 1,104.26 and 652.80 is: 901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.82 : 1,104.26 = 652.80 : x
  2. Step 2: Convert to fraction form
    799.82/1,104.26 = 652.80/x
  3. Step 3: Cross multiply
    799.82x = 1,104.26 × 652.80
  4. Step 4: Simplify right side
    799.82x = 720,857.66
  5. Step 5: Solve for x
    x = 720,857.66/799.82
  6. Step 6: Final answer
    x = 901.28

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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.