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Finding the Fourth Proportional to 769.93, 1,153.06 and 422.75

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Solution

The fourth proportional to 769.93, 1,153.06 and 422.75 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.93 : 1,153.06 = 422.75 : x
  2. Step 2: Convert to fraction form
    769.93/1,153.06 = 422.75/x
  3. Step 3: Cross multiply
    769.93x = 1,153.06 × 422.75
  4. Step 4: Simplify right side
    769.93x = 487,457.94
  5. Step 5: Solve for x
    x = 487,457.94/769.93
  6. Step 6: Final answer
    x = 633.12

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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.