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Finding the Fourth Proportional to 796.04, 1,193.58 and 334.12

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Solution

The fourth proportional to 796.04, 1,193.58 and 334.12 is: 500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.04 : 1,193.58 = 334.12 : x
  2. Step 2: Convert to fraction form
    796.04/1,193.58 = 334.12/x
  3. Step 3: Cross multiply
    796.04x = 1,193.58 × 334.12
  4. Step 4: Simplify right side
    796.04x = 398,798.95
  5. Step 5: Solve for x
    x = 398,798.95/796.04
  6. Step 6: Final answer
    x = 500.98

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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.