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Finding the Fourth Proportional to 802.04, 1,202.49 and 411.27

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Solution

The fourth proportional to 802.04, 1,202.49 and 411.27 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.04 : 1,202.49 = 411.27 : x
  2. Step 2: Convert to fraction form
    802.04/1,202.49 = 411.27/x
  3. Step 3: Cross multiply
    802.04x = 1,202.49 × 411.27
  4. Step 4: Simplify right side
    802.04x = 494,548.06
  5. Step 5: Solve for x
    x = 494,548.06/802.04
  6. Step 6: Final answer
    x = 616.62

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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.