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Finding the Fourth Proportional to 799.89, 1,198.41 and 433.77

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Solution

The fourth proportional to 799.89, 1,198.41 and 433.77 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.89 : 1,198.41 = 433.77 : x
  2. Step 2: Convert to fraction form
    799.89/1,198.41 = 433.77/x
  3. Step 3: Cross multiply
    799.89x = 1,198.41 × 433.77
  4. Step 4: Simplify right side
    799.89x = 519,834.31
  5. Step 5: Solve for x
    x = 519,834.31/799.89
  6. Step 6: Final answer
    x = 649.88

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1.5x scale

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.