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Finding the Fourth Proportional to 799.84, 1,205.32 and 762.76

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Solution

The fourth proportional to 799.84, 1,205.32 and 762.76 is: 1,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.84 : 1,205.32 = 762.76 : x
  2. Step 2: Convert to fraction form
    799.84/1,205.32 = 762.76/x
  3. Step 3: Cross multiply
    799.84x = 1,205.32 × 762.76
  4. Step 4: Simplify right side
    799.84x = 919,369.88
  5. Step 5: Solve for x
    x = 919,369.88/799.84
  6. Step 6: Final answer
    x = 1,149.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.