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Finding the Fourth Proportional to 768.59, 1,059.69 and 650.35

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Solution

The fourth proportional to 768.59, 1,059.69 and 650.35 is: 896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.59 : 1,059.69 = 650.35 : x
  2. Step 2: Convert to fraction form
    768.59/1,059.69 = 650.35/x
  3. Step 3: Cross multiply
    768.59x = 1,059.69 × 650.35
  4. Step 4: Simplify right side
    768.59x = 689,169.39
  5. Step 5: Solve for x
    x = 689,169.39/768.59
  6. Step 6: Final answer
    x = 896.67

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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.