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Finding the Fourth Proportional to 799.41, 1,199.58 and 337.15

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Solution

The fourth proportional to 799.41, 1,199.58 and 337.15 is: 505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.41 : 1,199.58 = 337.15 : x
  2. Step 2: Convert to fraction form
    799.41/1,199.58 = 337.15/x
  3. Step 3: Cross multiply
    799.41x = 1,199.58 × 337.15
  4. Step 4: Simplify right side
    799.41x = 404,438.40
  5. Step 5: Solve for x
    x = 404,438.40/799.41
  6. Step 6: Final answer
    x = 505.92

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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.