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Finding the Fourth Proportional to 802.19, 1,202.82 and 314.97

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Solution

The fourth proportional to 802.19, 1,202.82 and 314.97 is: 472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.19 : 1,202.82 = 314.97 : x
  2. Step 2: Convert to fraction form
    802.19/1,202.82 = 314.97/x
  3. Step 3: Cross multiply
    802.19x = 1,202.82 × 314.97
  4. Step 4: Simplify right side
    802.19x = 378,852.22
  5. Step 5: Solve for x
    x = 378,852.22/802.19
  6. Step 6: Final answer
    x = 472.27

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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.