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Finding the Fourth Proportional to 805.20, 1,109.96 and 583.80

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Solution

The fourth proportional to 805.20, 1,109.96 and 583.80 is: 804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.20 : 1,109.96 = 583.80 : x
  2. Step 2: Convert to fraction form
    805.20/1,109.96 = 583.80/x
  3. Step 3: Cross multiply
    805.20x = 1,109.96 × 583.80
  4. Step 4: Simplify right side
    805.20x = 647,994.65
  5. Step 5: Solve for x
    x = 647,994.65/805.20
  6. Step 6: Final answer
    x = 804.76

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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.