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Finding the Fourth Proportional to 798.56, 1,197.86 and 490.22

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Solution

The fourth proportional to 798.56, 1,197.86 and 490.22 is: 735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.56 : 1,197.86 = 490.22 : x
  2. Step 2: Convert to fraction form
    798.56/1,197.86 = 490.22/x
  3. Step 3: Cross multiply
    798.56x = 1,197.86 × 490.22
  4. Step 4: Simplify right side
    798.56x = 587,206.49
  5. Step 5: Solve for x
    x = 587,206.49/798.56
  6. Step 6: Final answer
    x = 735.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.