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Finding the Fourth Proportional to 802.04, 1,202.91 and 254.23

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Solution

The fourth proportional to 802.04, 1,202.91 and 254.23 is: 381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.04 : 1,202.91 = 254.23 : x
  2. Step 2: Convert to fraction form
    802.04/1,202.91 = 254.23/x
  3. Step 3: Cross multiply
    802.04x = 1,202.91 × 254.23
  4. Step 4: Simplify right side
    802.04x = 305,812.80
  5. Step 5: Solve for x
    x = 305,812.80/802.04
  6. Step 6: Final answer
    x = 381.29

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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.