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Finding the Fourth Proportional to 799.52, 1,199.64 and 414.56

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Solution

The fourth proportional to 799.52, 1,199.64 and 414.56 is: 622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.52 : 1,199.64 = 414.56 : x
  2. Step 2: Convert to fraction form
    799.52/1,199.64 = 414.56/x
  3. Step 3: Cross multiply
    799.52x = 1,199.64 × 414.56
  4. Step 4: Simplify right side
    799.52x = 497,322.76
  5. Step 5: Solve for x
    x = 497,322.76/799.52
  6. Step 6: Final answer
    x = 622.03

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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.