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Finding the Fourth Proportional to 797.82, 1,197.03 and 310.90

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Solution

The fourth proportional to 797.82, 1,197.03 and 310.90 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.82 : 1,197.03 = 310.90 : x
  2. Step 2: Convert to fraction form
    797.82/1,197.03 = 310.90/x
  3. Step 3: Cross multiply
    797.82x = 1,197.03 × 310.90
  4. Step 4: Simplify right side
    797.82x = 372,156.63
  5. Step 5: Solve for x
    x = 372,156.63/797.82
  6. Step 6: Final answer
    x = 466.47

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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.