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Finding the Fourth Proportional to 1,729.66, 2,593.00 and 804.73

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Solution

The fourth proportional to 1,729.66, 2,593.00 and 804.73 is: 1,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.66 : 2,593.00 = 804.73 : x
  2. Step 2: Convert to fraction form
    1,729.66/2,593.00 = 804.73/x
  3. Step 3: Cross multiply
    1,729.66x = 2,593.00 × 804.73
  4. Step 4: Simplify right side
    1,729.66x = 2,086,647.90
  5. Step 5: Solve for x
    x = 2,086,647.90/1,729.66
  6. Step 6: Final answer
    x = 1,206.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.