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Finding the Fourth Proportional to 802.29, 1,203.38 and 477.38

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Solution

The fourth proportional to 802.29, 1,203.38 and 477.38 is: 716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.29 : 1,203.38 = 477.38 : x
  2. Step 2: Convert to fraction form
    802.29/1,203.38 = 477.38/x
  3. Step 3: Cross multiply
    802.29x = 1,203.38 × 477.38
  4. Step 4: Simplify right side
    802.29x = 574,469.54
  5. Step 5: Solve for x
    x = 574,469.54/802.29
  6. Step 6: Final answer
    x = 716.04

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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.