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Finding the Fourth Proportional to 769.64, 1,063.14 and 563.72

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Solution

The fourth proportional to 769.64, 1,063.14 and 563.72 is: 778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.64 : 1,063.14 = 563.72 : x
  2. Step 2: Convert to fraction form
    769.64/1,063.14 = 563.72/x
  3. Step 3: Cross multiply
    769.64x = 1,063.14 × 563.72
  4. Step 4: Simplify right side
    769.64x = 599,313.28
  5. Step 5: Solve for x
    x = 599,313.28/769.64
  6. Step 6: Final answer
    x = 778.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.