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Finding the Fourth Proportional to 799.94, 1,200.18 and 367.40

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Solution

The fourth proportional to 799.94, 1,200.18 and 367.40 is: 551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.94 : 1,200.18 = 367.40 : x
  2. Step 2: Convert to fraction form
    799.94/1,200.18 = 367.40/x
  3. Step 3: Cross multiply
    799.94x = 1,200.18 × 367.40
  4. Step 4: Simplify right side
    799.94x = 440,946.13
  5. Step 5: Solve for x
    x = 440,946.13/799.94
  6. Step 6: Final answer
    x = 551.22

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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.