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Finding the Fourth Proportional to 802.14, 1,202.92 and 282

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Solution

The fourth proportional to 802.14, 1,202.92 and 282 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.14 : 1,202.92 = 282 : x
  2. Step 2: Convert to fraction form
    802.14/1,202.92 = 282/x
  3. Step 3: Cross multiply
    802.14x = 1,202.92 × 282
  4. Step 4: Simplify right side
    802.14x = 339,223.44
  5. Step 5: Solve for x
    x = 339,223.44/802.14
  6. Step 6: Final answer
    x = 422.90

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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.