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Finding the Fourth Proportional to 805.34, 1,198.36 and 802.60

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Solution

The fourth proportional to 805.34, 1,198.36 and 802.60 is: 1,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.34 : 1,198.36 = 802.60 : x
  2. Step 2: Convert to fraction form
    805.34/1,198.36 = 802.60/x
  3. Step 3: Cross multiply
    805.34x = 1,198.36 × 802.60
  4. Step 4: Simplify right side
    805.34x = 961,806.23
  5. Step 5: Solve for x
    x = 961,806.23/805.34
  6. Step 6: Final answer
    x = 1,194.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.