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Finding the Fourth Proportional to 768.53, 1,149.96 and 460.60

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Solution

The fourth proportional to 768.53, 1,149.96 and 460.60 is: 689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.53 : 1,149.96 = 460.60 : x
  2. Step 2: Convert to fraction form
    768.53/1,149.96 = 460.60/x
  3. Step 3: Cross multiply
    768.53x = 1,149.96 × 460.60
  4. Step 4: Simplify right side
    768.53x = 529,671.58
  5. Step 5: Solve for x
    x = 529,671.58/768.53
  6. Step 6: Final answer
    x = 689.20

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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.