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Finding the Fourth Proportional to 768.89, 1,152.96 and 456.86

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Solution

The fourth proportional to 768.89, 1,152.96 and 456.86 is: 685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.89 : 1,152.96 = 456.86 : x
  2. Step 2: Convert to fraction form
    768.89/1,152.96 = 456.86/x
  3. Step 3: Cross multiply
    768.89x = 1,152.96 × 456.86
  4. Step 4: Simplify right side
    768.89x = 526,735.54
  5. Step 5: Solve for x
    x = 526,735.54/768.89
  6. Step 6: Final answer
    x = 685.06

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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.