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Finding the Fourth Proportional to 768.13, 1,059.72 and 431.96

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Solution

The fourth proportional to 768.13, 1,059.72 and 431.96 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.13 : 1,059.72 = 431.96 : x
  2. Step 2: Convert to fraction form
    768.13/1,059.72 = 431.96/x
  3. Step 3: Cross multiply
    768.13x = 1,059.72 × 431.96
  4. Step 4: Simplify right side
    768.13x = 457,749.73
  5. Step 5: Solve for x
    x = 457,749.73/768.13
  6. Step 6: Final answer
    x = 595.93

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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.