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Finding the Fourth Proportional to 796.76, 1,193.82 and 309.54

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Solution

The fourth proportional to 796.76, 1,193.82 and 309.54 is: 463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.76 : 1,193.82 = 309.54 : x
  2. Step 2: Convert to fraction form
    796.76/1,193.82 = 309.54/x
  3. Step 3: Cross multiply
    796.76x = 1,193.82 × 309.54
  4. Step 4: Simplify right side
    796.76x = 369,533.50
  5. Step 5: Solve for x
    x = 369,533.50/796.76
  6. Step 6: Final answer
    x = 463.80

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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.