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Finding the Fourth Proportional to 800.92, 1,202.10 and 454.60

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Solution

The fourth proportional to 800.92, 1,202.10 and 454.60 is: 682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.92 : 1,202.10 = 454.60 : x
  2. Step 2: Convert to fraction form
    800.92/1,202.10 = 454.60/x
  3. Step 3: Cross multiply
    800.92x = 1,202.10 × 454.60
  4. Step 4: Simplify right side
    800.92x = 546,474.66
  5. Step 5: Solve for x
    x = 546,474.66/800.92
  6. Step 6: Final answer
    x = 682.31

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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.