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Finding the Fourth Proportional to 798.12, 1,196.30 and 311.08

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Solution

The fourth proportional to 798.12, 1,196.30 and 311.08 is: 466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.12 : 1,196.30 = 311.08 : x
  2. Step 2: Convert to fraction form
    798.12/1,196.30 = 311.08/x
  3. Step 3: Cross multiply
    798.12x = 1,196.30 × 311.08
  4. Step 4: Simplify right side
    798.12x = 372,145.00
  5. Step 5: Solve for x
    x = 372,145.00/798.12
  6. Step 6: Final answer
    x = 466.28

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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.