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Finding the Fourth Proportional to 802.13, 1,201.93 and 314.92

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Solution

The fourth proportional to 802.13, 1,201.93 and 314.92 is: 471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.13 : 1,201.93 = 314.92 : x
  2. Step 2: Convert to fraction form
    802.13/1,201.93 = 314.92/x
  3. Step 3: Cross multiply
    802.13x = 1,201.93 × 314.92
  4. Step 4: Simplify right side
    802.13x = 378,511.80
  5. Step 5: Solve for x
    x = 378,511.80/802.13
  6. Step 6: Final answer
    x = 471.88

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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.