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Finding the Fourth Proportional to 798.72, 1,197.62 and 311.21

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Solution

The fourth proportional to 798.72, 1,197.62 and 311.21 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.72 : 1,197.62 = 311.21 : x
  2. Step 2: Convert to fraction form
    798.72/1,197.62 = 311.21/x
  3. Step 3: Cross multiply
    798.72x = 1,197.62 × 311.21
  4. Step 4: Simplify right side
    798.72x = 372,711.32
  5. Step 5: Solve for x
    x = 372,711.32/798.72
  6. Step 6: Final answer
    x = 466.64

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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.