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Finding the Fourth Proportional to 769.11, 1,154.24 and 564.21

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Solution

The fourth proportional to 769.11, 1,154.24 and 564.21 is: 846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.11 : 1,154.24 = 564.21 : x
  2. Step 2: Convert to fraction form
    769.11/1,154.24 = 564.21/x
  3. Step 3: Cross multiply
    769.11x = 1,154.24 × 564.21
  4. Step 4: Simplify right side
    769.11x = 651,233.75
  5. Step 5: Solve for x
    x = 651,233.75/769.11
  6. Step 6: Final answer
    x = 846.74

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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.