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Finding the Fourth Proportional to 800.19, 1,194.39 and 743.13

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Solution

The fourth proportional to 800.19, 1,194.39 and 743.13 is: 1,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.19 : 1,194.39 = 743.13 : x
  2. Step 2: Convert to fraction form
    800.19/1,194.39 = 743.13/x
  3. Step 3: Cross multiply
    800.19x = 1,194.39 × 743.13
  4. Step 4: Simplify right side
    800.19x = 887,587.04
  5. Step 5: Solve for x
    x = 887,587.04/800.19
  6. Step 6: Final answer
    x = 1,109.22

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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.