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Finding the Fourth Proportional to 802.14, 1,203.21 and 628.62

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Solution

The fourth proportional to 802.14, 1,203.21 and 628.62 is: 942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.14 : 1,203.21 = 628.62 : x
  2. Step 2: Convert to fraction form
    802.14/1,203.21 = 628.62/x
  3. Step 3: Cross multiply
    802.14x = 1,203.21 × 628.62
  4. Step 4: Simplify right side
    802.14x = 756,361.87
  5. Step 5: Solve for x
    x = 756,361.87/802.14
  6. Step 6: Final answer
    x = 942.93

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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.