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Finding the Fourth Proportional to 799.19, 1,199.90 and 527.03

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Solution

The fourth proportional to 799.19, 1,199.90 and 527.03 is: 791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.19 : 1,199.90 = 527.03 : x
  2. Step 2: Convert to fraction form
    799.19/1,199.90 = 527.03/x
  3. Step 3: Cross multiply
    799.19x = 1,199.90 × 527.03
  4. Step 4: Simplify right side
    799.19x = 632,380.66
  5. Step 5: Solve for x
    x = 632,380.66/799.19
  6. Step 6: Final answer
    x = 791.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.