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Finding the Fourth Proportional to 800.62, 1,105.10 and 485.89

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Solution

The fourth proportional to 800.62, 1,105.10 and 485.89 is: 670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.62 : 1,105.10 = 485.89 : x
  2. Step 2: Convert to fraction form
    800.62/1,105.10 = 485.89/x
  3. Step 3: Cross multiply
    800.62x = 1,105.10 × 485.89
  4. Step 4: Simplify right side
    800.62x = 536,957.04
  5. Step 5: Solve for x
    x = 536,957.04/800.62
  6. Step 6: Final answer
    x = 670.68

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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.