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Finding the Fourth Proportional to 799.05, 1,197.80 and 337.23

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Solution

The fourth proportional to 799.05, 1,197.80 and 337.23 is: 505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.05 : 1,197.80 = 337.23 : x
  2. Step 2: Convert to fraction form
    799.05/1,197.80 = 337.23/x
  3. Step 3: Cross multiply
    799.05x = 1,197.80 × 337.23
  4. Step 4: Simplify right side
    799.05x = 403,935.57
  5. Step 5: Solve for x
    x = 403,935.57/799.05
  6. Step 6: Final answer
    x = 505.52

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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.