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Finding the Fourth Proportional to 997.14, 1,496.04 and 303.79

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Solution

The fourth proportional to 997.14, 1,496.04 and 303.79 is: 455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.14 : 1,496.04 = 303.79 : x
  2. Step 2: Convert to fraction form
    997.14/1,496.04 = 303.79/x
  3. Step 3: Cross multiply
    997.14x = 1,496.04 × 303.79
  4. Step 4: Simplify right side
    997.14x = 454,480.38
  5. Step 5: Solve for x
    x = 454,480.38/997.14
  6. Step 6: Final answer
    x = 455.79

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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.