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Finding the Fourth Proportional to 799.82, 1,199.82 and 435.14

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Solution

The fourth proportional to 799.82, 1,199.82 and 435.14 is: 652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.82 : 1,199.82 = 435.14 : x
  2. Step 2: Convert to fraction form
    799.82/1,199.82 = 435.14/x
  3. Step 3: Cross multiply
    799.82x = 1,199.82 × 435.14
  4. Step 4: Simplify right side
    799.82x = 522,089.67
  5. Step 5: Solve for x
    x = 522,089.67/799.82
  6. Step 6: Final answer
    x = 652.76

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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.