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Finding the Fourth Proportional to 768.34, 1,152.23 and 439.75

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Solution

The fourth proportional to 768.34, 1,152.23 and 439.75 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.34 : 1,152.23 = 439.75 : x
  2. Step 2: Convert to fraction form
    768.34/1,152.23 = 439.75/x
  3. Step 3: Cross multiply
    768.34x = 1,152.23 × 439.75
  4. Step 4: Simplify right side
    768.34x = 506,687.38
  5. Step 5: Solve for x
    x = 506,687.38/768.34
  6. Step 6: Final answer
    x = 659.46

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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.