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Finding the Fourth Proportional to 800.52, 1,104.83 and 485.91

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Solution

The fourth proportional to 800.52, 1,104.83 and 485.91 is: 670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.52 : 1,104.83 = 485.91 : x
  2. Step 2: Convert to fraction form
    800.52/1,104.83 = 485.91/x
  3. Step 3: Cross multiply
    800.52x = 1,104.83 × 485.91
  4. Step 4: Simplify right side
    800.52x = 536,847.34
  5. Step 5: Solve for x
    x = 536,847.34/800.52
  6. Step 6: Final answer
    x = 670.63

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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.