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Finding the Fourth Proportional to 798.14, 1,196.98 and 311.08

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Solution

The fourth proportional to 798.14, 1,196.98 and 311.08 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.14 : 1,196.98 = 311.08 : x
  2. Step 2: Convert to fraction form
    798.14/1,196.98 = 311.08/x
  3. Step 3: Cross multiply
    798.14x = 1,196.98 × 311.08
  4. Step 4: Simplify right side
    798.14x = 372,356.54
  5. Step 5: Solve for x
    x = 372,356.54/798.14
  6. Step 6: Final answer
    x = 466.53

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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.