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Finding the Fourth Proportional to 802.44, 1,114.29 and 795.96

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Solution

The fourth proportional to 802.44, 1,114.29 and 795.96 is: 1,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.44 : 1,114.29 = 795.96 : x
  2. Step 2: Convert to fraction form
    802.44/1,114.29 = 795.96/x
  3. Step 3: Cross multiply
    802.44x = 1,114.29 × 795.96
  4. Step 4: Simplify right side
    802.44x = 886,930.27
  5. Step 5: Solve for x
    x = 886,930.27/802.44
  6. Step 6: Final answer
    x = 1,105.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.