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Finding the Fourth Proportional to 800.93, 1,197.41 and 605.92

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Solution

The fourth proportional to 800.93, 1,197.41 and 605.92 is: 905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.93 : 1,197.41 = 605.92 : x
  2. Step 2: Convert to fraction form
    800.93/1,197.41 = 605.92/x
  3. Step 3: Cross multiply
    800.93x = 1,197.41 × 605.92
  4. Step 4: Simplify right side
    800.93x = 725,534.67
  5. Step 5: Solve for x
    x = 725,534.67/800.93
  6. Step 6: Final answer
    x = 905.87

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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.