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Finding the Fourth Proportional to 798.32, 1,196.78 and 311.03

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Solution

The fourth proportional to 798.32, 1,196.78 and 311.03 is: 466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.32 : 1,196.78 = 311.03 : x
  2. Step 2: Convert to fraction form
    798.32/1,196.78 = 311.03/x
  3. Step 3: Cross multiply
    798.32x = 1,196.78 × 311.03
  4. Step 4: Simplify right side
    798.32x = 372,229.75
  5. Step 5: Solve for x
    x = 372,229.75/798.32
  6. Step 6: Final answer
    x = 466.27

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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.