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Finding the Fourth Proportional to 805.99, 1,206.90 and 675.68

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Solution

The fourth proportional to 805.99, 1,206.90 and 675.68 is: 1,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.99 : 1,206.90 = 675.68 : x
  2. Step 2: Convert to fraction form
    805.99/1,206.90 = 675.68/x
  3. Step 3: Cross multiply
    805.99x = 1,206.90 × 675.68
  4. Step 4: Simplify right side
    805.99x = 815,472.16
  5. Step 5: Solve for x
    x = 815,472.16/805.99
  6. Step 6: Final answer
    x = 1,011.76

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