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Finding the Fourth Proportional to 768.10, 1,059.32 and 688.32

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Solution

The fourth proportional to 768.10, 1,059.32 and 688.32 is: 949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.10 : 1,059.32 = 688.32 : x
  2. Step 2: Convert to fraction form
    768.10/1,059.32 = 688.32/x
  3. Step 3: Cross multiply
    768.10x = 1,059.32 × 688.32
  4. Step 4: Simplify right side
    768.10x = 729,151.14
  5. Step 5: Solve for x
    x = 729,151.14/768.10
  6. Step 6: Final answer
    x = 949.29

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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.