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Finding the Fourth Proportional to 799.70, 1,199.31 and 414.74

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Solution

The fourth proportional to 799.70, 1,199.31 and 414.74 is: 621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.70 : 1,199.31 = 414.74 : x
  2. Step 2: Convert to fraction form
    799.70/1,199.31 = 414.74/x
  3. Step 3: Cross multiply
    799.70x = 1,199.31 × 414.74
  4. Step 4: Simplify right side
    799.70x = 497,401.83
  5. Step 5: Solve for x
    x = 497,401.83/799.70
  6. Step 6: Final answer
    x = 621.99

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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.