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Finding the Fourth Proportional to 800.76, 1,105.04 and 490.26

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Solution

The fourth proportional to 800.76, 1,105.04 and 490.26 is: 676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.76 : 1,105.04 = 490.26 : x
  2. Step 2: Convert to fraction form
    800.76/1,105.04 = 490.26/x
  3. Step 3: Cross multiply
    800.76x = 1,105.04 × 490.26
  4. Step 4: Simplify right side
    800.76x = 541,756.91
  5. Step 5: Solve for x
    x = 541,756.91/800.76
  6. Step 6: Final answer
    x = 676.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.