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Finding the Fourth Proportional to 767.99, 1,151.94 and 422.00

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Solution

The fourth proportional to 767.99, 1,151.94 and 422.00 is: 632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.99 : 1,151.94 = 422.00 : x
  2. Step 2: Convert to fraction form
    767.99/1,151.94 = 422.00/x
  3. Step 3: Cross multiply
    767.99x = 1,151.94 × 422.00
  4. Step 4: Simplify right side
    767.99x = 486,112.92
  5. Step 5: Solve for x
    x = 486,112.92/767.99
  6. Step 6: Final answer
    x = 632.97

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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.