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Finding the Fourth Proportional to 802.14, 1,203.22 and 314.86

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Solution

The fourth proportional to 802.14, 1,203.22 and 314.86 is: 472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.14 : 1,203.22 = 314.86 : x
  2. Step 2: Convert to fraction form
    802.14/1,203.22 = 314.86/x
  3. Step 3: Cross multiply
    802.14x = 1,203.22 × 314.86
  4. Step 4: Simplify right side
    802.14x = 378,845.85
  5. Step 5: Solve for x
    x = 378,845.85/802.14
  6. Step 6: Final answer
    x = 472.29

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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.