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Finding the Fourth Proportional to 798.40, 1,196.16 and 311.14

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Solution

The fourth proportional to 798.40, 1,196.16 and 311.14 is: 466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.40 : 1,196.16 = 311.14 : x
  2. Step 2: Convert to fraction form
    798.40/1,196.16 = 311.14/x
  3. Step 3: Cross multiply
    798.40x = 1,196.16 × 311.14
  4. Step 4: Simplify right side
    798.40x = 372,173.22
  5. Step 5: Solve for x
    x = 372,173.22/798.40
  6. Step 6: Final answer
    x = 466.15

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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.