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Finding the Fourth Proportional to 802.84, 1,202.04 and 629.08

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Solution

The fourth proportional to 802.84, 1,202.04 and 629.08 is: 941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.84 : 1,202.04 = 629.08 : x
  2. Step 2: Convert to fraction form
    802.84/1,202.04 = 629.08/x
  3. Step 3: Cross multiply
    802.84x = 1,202.04 × 629.08
  4. Step 4: Simplify right side
    802.84x = 756,179.32
  5. Step 5: Solve for x
    x = 756,179.32/802.84
  6. Step 6: Final answer
    x = 941.88

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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.