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Finding the Fourth Proportional to 804.43, 1,109.55 and 580.37

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Solution

The fourth proportional to 804.43, 1,109.55 and 580.37 is: 800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.43 : 1,109.55 = 580.37 : x
  2. Step 2: Convert to fraction form
    804.43/1,109.55 = 580.37/x
  3. Step 3: Cross multiply
    804.43x = 1,109.55 × 580.37
  4. Step 4: Simplify right side
    804.43x = 643,942.90
  5. Step 5: Solve for x
    x = 643,942.90/804.43
  6. Step 6: Final answer
    x = 800.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.