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Finding the Fourth Proportional to 764.25, 1,146.39 and 187.13

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Solution

The fourth proportional to 764.25, 1,146.39 and 187.13 is: 280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.25 : 1,146.39 = 187.13 : x
  2. Step 2: Convert to fraction form
    764.25/1,146.39 = 187.13/x
  3. Step 3: Cross multiply
    764.25x = 1,146.39 × 187.13
  4. Step 4: Simplify right side
    764.25x = 214,523.96
  5. Step 5: Solve for x
    x = 214,523.96/764.25
  6. Step 6: Final answer
    x = 280.70

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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.