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Finding the Fourth Proportional to 802.06, 1,202.97 and 665.98

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Solution

The fourth proportional to 802.06, 1,202.97 and 665.98 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.06 : 1,202.97 = 665.98 : x
  2. Step 2: Convert to fraction form
    802.06/1,202.97 = 665.98/x
  3. Step 3: Cross multiply
    802.06x = 1,202.97 × 665.98
  4. Step 4: Simplify right side
    802.06x = 801,153.96
  5. Step 5: Solve for x
    x = 801,153.96/802.06
  6. Step 6: Final answer
    x = 998.87

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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.